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Journal articles on the topic 'Double binomial'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Cepeda-Cuervo, Edilberto, and María Victoria Cifuentes-Amado. "Double Generalized Beta-Binomial and Negative Binomial Regression Models." Revista Colombiana de Estadística 40, no. 1 (2017): 141–63. http://dx.doi.org/10.15446/rce.v40n1.61779.

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Overdispersion is a common phenomenon in count datasets, that can greatly affect inferences about the model. In this paper develop three joint mean and dispersion regression models in order to fit overdispersed data. These models are based on reparameterizations of the beta-binomial and negative binomial distributions. Finally, we propose a Bayesian approach to estimate the parameters of the overdispersion regression models and use it to fit a school absenteeism dataset.

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2

Bayo, H. Lawal. "Employing the Double, Multiplicative and The Com-Poisson Binomial Distributions for modeling Over and Under-dispersed Binary Data." Employing the Double, Multiplicative and The Com-Poisson Binomial Distributions for modeling Over and Under-dispersed Binary Data 23, no. 3 (2017): 1–17. https://doi.org/10.9734/JAMCS/2017/33475.

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In this paper, we compare the performances of several models for tting over-dispersed binary data. The distribution models considered in this study include the binomial (BN), the beta- binomial (BB), the multiplicative binomial (MBM), the Com-Poisson binomial (CPB) and the double binomial (DBM) models. Applications of these models to several well known data sets exhibiting under-dispersion and over-dispersion were considered in this paper. We applied these models to two frequency data sets and two data sets with covariates that have been variously analysed in the literature. The rst relates to

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3

Sofo, Anthony. "Harmonic numbers and double binomial coefficients." Integral Transforms and Special Functions 20, no. 11 (2009): 847–57. http://dx.doi.org/10.1080/10652460902917844.

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4

Ma, Ding. "Period polynomial relations of binomial coefficients and binomial realization of formal double zeta space." International Journal of Number Theory 13, no. 03 (2017): 761–74. http://dx.doi.org/10.1142/s1793042117500403.

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In this paper, we give a realization of the formal double zeta space by using binomial coefficients. Along with the results in [Period polynomial relations between formal double zeta values of odd weight, Math. Ann. 365 (2016) 345–362], this gives us two families of period polynomial relations among binomial coefficients. We also give another family of period polynomial relations among binomial coefficients which cannot be obtained from our binomial realization. At the end, some higher depth observation is provided.

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5

CHU, Wenchang. "Reduction formula of a double binomial sum." TURKISH JOURNAL OF MATHEMATICS 42 (2018): 307–11. http://dx.doi.org/10.3906/mat-1701-69.

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6

Chen, Yulei, and Dongwei Guo. "Combinatorial Identities Concerning Binomial Quotients." Symmetry 16, no. 6 (2024): 746. http://dx.doi.org/10.3390/sym16060746.

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Making use of a telescoping approach, three types of sums of binomial quotients are examined. The summation terms of the two types of alternating sums have symmetry (i.e., their numerators and denominators are completely symmetric). We obtained a series of their explicit sums. Furthermore, by means of binomial relations, three recurrence relations of the sums are derived. In addition, series of double summation formulae involving binomial quotients are established.

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7

Yaying, Taja, and Bipan Hazarika. "Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces." Scientific African 17 (September 2022): e01337. http://dx.doi.org/10.1016/j.sciaf.2022.e01337.

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8

Park, Hyun Suk. "Analytical binomial lookback options with double-exponential jumps." Journal of the Korean Statistical Society 38, no. 4 (2009): 397–404. http://dx.doi.org/10.1016/j.jkss.2009.07.002.

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9

Tuenter. "A Double Binomial Sum: Putnam 35–A4 Revisited." American Mathematical Monthly 122, no. 7 (2015): 684. http://dx.doi.org/10.4169/amer.math.monthly.122.7.684.

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10

APPOLLONI, ELISA, MARCELLINO GAUDENZI, and ANTONINO ZANETTE. "THE BINOMIAL INTERPOLATED LATTICE METHOD FOR STEP DOUBLE BARRIER OPTIONS." International Journal of Theoretical and Applied Finance 17, no. 06 (2014): 1450035. http://dx.doi.org/10.1142/s0219024914500356.

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We consider the problem of pricing step double barrier options with binomial lattice methods. We introduce an algorithm, based on interpolation techniques, that is robust and efficient, that treats the "near barrier" problem for double barrier options and permits the valuation of step double barrier options with American features. We provide a complete convergence analysis of the proposed lattice algorithm in the European case.

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11

Dekking, Michel, and Derong Kong. "Multimodality of the Markov Binomial Distribution." Journal of Applied Probability 48, no. 4 (2011): 938–53. http://dx.doi.org/10.1239/jap/1324046011.

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We study the shape of the probability mass function of the Markov binomial distribution, and give necessary and sufficient conditions for the probability mass function to be unimodal, bimodal, or trimodal. These are useful to analyze the double-peaking results of a reactive transport model from the engineering literature. Moreover, we give a closed-form expression for the variance of the Markov binomial distribution, and expressions for the mean and the variance conditioned on the state at time n.

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12

Dekking, Michel, and Derong Kong. "Multimodality of the Markov Binomial Distribution." Journal of Applied Probability 48, no. 04 (2011): 938–53. http://dx.doi.org/10.1017/s0021900200008548.

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We study the shape of the probability mass function of the Markov binomial distribution, and give necessary and sufficient conditions for the probability mass function to be unimodal, bimodal, or trimodal. These are useful to analyze the double-peaking results of a reactive transport model from the engineering literature. Moreover, we give a closed-form expression for the variance of the Markov binomial distribution, and expressions for the mean and the variance conditioned on the state at time n.

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13

Taylor, Wayne A. "A Program for Selecting Efficient Binomial Double Sampling Plans." Journal of Quality Technology 18, no. 1 (1986): 67–73. http://dx.doi.org/10.1080/00224065.1986.11978987.

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14

COSTABILE, M., I. MASSABÒ, and E. RUSSO. "ON PRICING CONTINGENT CLAIMS UNDER THE DOUBLE HESTON MODEL." International Journal of Theoretical and Applied Finance 15, no. 05 (2012): 1250033. http://dx.doi.org/10.1142/s0219024912500331.

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This article presents a lattice based approach for pricing contingent claims when the underlying asset evolves according to the double Heston (dH) stochastic volatility model introduced by Christoffersen et al. (2009). We discretize the continuous evolution of both squared volatilities by a "binomial pyramid", and consider the asset value as an auxiliary state variable for which a subset of possible realizations is attached to each node of the pyramid. The elements of the subset cover the range of asset prices at each time slice, and claim price is computed solving backward through the "binomi

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15

Kroll, Neal E. A. "Testing Independence in 2 × 2 Contingency Tables." Journal of Educational Statistics 14, no. 1 (1989): 47–79. http://dx.doi.org/10.3102/10769986014001047.

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Three of the potential models for the 2 × 2 contingency table are discussed: the hyper geometric Independence Trial, the double-binomial Comparative Trial, and the multinomial Double Dichotomy Trial. Then the critical regions of seven statistical tests are evaluated within each of these models. The uncorrected Pearson’s Chi-Square test and Upton’s correction are found to be overly liberal in all three models, particularly for the hypergeometric. A continuity correction, when properly applied, is shown to be an extremely good approximation to Fisher’s Exact test, which employs the hypergeometri

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16

Bradley, David M. "Aq-analog of Euler's decomposition formula for the double zeta function." International Journal of Mathematics and Mathematical Sciences 2005, no. 21 (2005): 3453–58. http://dx.doi.org/10.1155/ijmms.2005.3453.

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The double zeta function was first studied by Euler in response to a letter from Goldbach in 1742. One of Euler's results for this function is a decomposition formula, which expresses the product of two values of the Riemann zeta function as a finite sum of double zeta values involving binomial coefficients. Here, we establish aq-analog of Euler's decomposition formula. More specifically, we show that Euler's decomposition formula can be extended to what might be referred to as a “doubleq-zeta function” in such a way that Euler's formula is recovered in the limit asqtends to 1.

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17

Bayo, H. Lawal. "On Modeling the Double and Multiplicative Binomial Models as Log-Linear Models." Advances in Computer Sciences (ISSN:2517-5718) 1, no. 1 (2018): 1–10. https://doi.org/10.31021/acs.20181103.

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<strong>Abstract</strong> In this paper we have fitted the double binomial and multiplicative binomial distributions as log-linear models using sufficient statistics. This approach is not new as several authors have employed this approach, most especially in the analysis of the Human sex ratio in [1]. However, obtaining the estimated parameters of the distributions may be problematic, especially for the double binomial where the parameter estimate of π may not be readily available from the Log-Linear (LL) parameter estimates. Other issues associated with the LL approach is its implementatio

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18

Bennett, Grahame. "Double dipping: the case of the missing binomial coefficient identities." Theoretical Computer Science 123, no. 2 (1994): 351–75. http://dx.doi.org/10.1016/0304-3975(94)90133-3.

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19

Cereceda, José L. "A note on the coefficients of power sums of arithmetic progressions." Miskolc Mathematical Notes 23, no. 2 (2022): 551. http://dx.doi.org/10.18514/mmn.2022.3915.

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In this note we show a simple formula for the coefficients of the polynomial associated with the sums of powers of the terms of an arbitrary arithmetic progression. This formula consists of a double sum involving only ordinary binomial coefficients and binomial powers. Arguably, this is the simplest formula that can probably be found for the said coefficients. Furthermore, we give an explicit formula for the Bernoulli polynomials involving the Stirling numbers of the first and second kind.

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20

Jensen, Nicholai Daugaard, Claude Forano, Suraj Shiv Charan Pushparaj, Yusuke Nishiyama, Belayneh Bekele, and Ulla Gro Nielsen. "The distribution of reactive Ni2+ in 2D Mg2−xNixAl-LDH nanohybrid materials determined by solid state 27Al MAS NMR spectroscopy." Physical Chemistry Chemical Physics 20, no. 39 (2018): 25335–42. http://dx.doi.org/10.1039/c8cp05243c.

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21

Qiu, Shi-Fang, and Qi-Xiang Fu. "Homogeneity testing for binomial proportions under stratified double-sampling scheme with two fallible classifiers." Statistical Methods in Medical Research 29, no. 12 (2020): 3547–68. http://dx.doi.org/10.1177/0962280220932601.

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This article investigates the homogeneity testing problem of binomial proportions for stratified partially validated data obtained by double-sampling method with two fallible classifiers. Several test procedures, including the weighted-least-squares test with/without log-transformation, logit-transformation and double log-transformation, and likelihood ratio test and score test, are developed to test the homogeneity under two models, distinguished by conditional independence assumption of two classifiers. Simulation results show that score test performs better than other tests in the sense tha

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22

Alzer, Horst, and Jozsef Sandor. "On a binomial coefficient and a product of prime numbers." Applicable Analysis and Discrete Mathematics 5, no. 1 (2011): 87–92. http://dx.doi.org/10.2298/aadm110206008a.

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Let Pn be the n-th prime number. We prove the following double-inequality. For all integers k?5 we have exp[k(c0?loglogk)]? k2 k/p1?p2?...?pk ? exp[k(c1?loglogk)] with the best possible constants c0 = 1/5 log23 + loglog5=1:10298? and c1 = 1/192log(36864/192)+loglog 192?1/192log(p1?p2???p192)=2.04287... This reffines a result published by Gupta and Khare in 1977.

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23

Areepong, Yupaporn. "Statistical Design of Double Moving Average Scheme for Zero Inflated Binomial Process." International Journal of Applied Physics and Mathematics 6, no. 4 (2016): 185–93. http://dx.doi.org/10.17706/ijapm.2016.6.4.185-193.

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24

Andrews, George E., and Peter Paule. "Some Questions Concerning Computer-Generated Proofs of a Binomial Double-Sum Identity." Journal of Symbolic Computation 16, no. 2 (1993): 147–51. http://dx.doi.org/10.1006/jsco.1993.1038.

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25

Guo, Victor J. W., and Ji-Cai Liu. "Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums." International Journal of Number Theory 12, no. 03 (2016): 615–23. http://dx.doi.org/10.1142/s1793042116500391.

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Sun introduced three kinds of numbers: [Formula: see text] and [Formula: see text] In this paper, we mainly prove that [Formula: see text] by establishing some binomial coefficient identities, such as [Formula: see text] This confirms several recent conjectures of Sun.

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26

Koufie, Augustine, Henry de-Graft Acquah, and Samuel Kwesi Ndzebah Dadzie. "Risk Optimality and, Subscription and Subscription Intensity of Weather Index Insurance: Application of T-MOTAD and Negative Binomial Double Hurdle Model." Agris on-line Papers in Economics and Informatics 16, no. 4 (2024): 99–108. https://doi.org/10.7160/aol.2024.160408.

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This study sought to analyze risk efficient income and examine its effect on subscription and subscription intensity of weather index insurance (WII). Data was obtained from food crop farmers who were randomly sampled from the Upper West Region; and further, the T-MOTAD and Negative binomial hurdle model were estimated to arrive at the study findings. The study fills methodological gap by estimating the negative binomial hurdle and Zero-inflated negative binomial models as advancement of the Poisson regression model. Further, AIC, BIC, Log-likelihood, rootogram as well as the Vuong test were e

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27

Rahardja, Dewi, and Dean M. Young. "Confidence Intervals for the Risk Ratio Using Double Sampling with Misclassified Binomial Data." Journal of Data Science 9, no. 4 (2021): 529–48. http://dx.doi.org/10.6339/jds.201110_09(4).0004.

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28

Cao, Jian, Hari M. Srivastava, Hong-Li Zhou, and Sama Arjika. "Generalized q-Difference Equations for q-Hypergeometric Polynomials with Double q-Binomial Coefficients." Mathematics 10, no. 4 (2022): 556. http://dx.doi.org/10.3390/math10040556.

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In this paper, we apply a general family of basic (or q-) polynomials with double q-binomial coefficients as well as some homogeneous q-operators in order to construct several q-difference equations involving seven variables. We derive the Rogers type and the extended Rogers type formulas as well as the Srivastava-Agarwal-type bilinear generating functions for the general q-polynomials, which generalize the generating functions for the Cigler polynomials. We also derive a class of mixed generating functions by means of the aforementioned q-difference equations. The various results, which we ha

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29

Stamey, James D. "COMPARING POISSON RATES WHEN DATA ARE SUBJECT TO UNDERREPORTING." Advances and Applications in Statistics 91, no. 11 (2024): 1375–86. http://dx.doi.org/10.17654/0972361724071.

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Count data are often modeled with the Poisson distribution. Comparison of two Poisson rates can be done using the conditional test based on the binomial assumption. When the counts are underreported, the power of the conditional test can be impacted. We propose a large sample normal test and a small sample parametric bootstrap test based on estimators corrected for underreporting via a double sample. An example is given.

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30

HEUWELYCKX, FABIEN. "CONVERGENCE OF EUROPEAN LOOKBACK OPTIONS WITH FLOATING STRIKE IN THE BINOMIAL MODEL." International Journal of Theoretical and Applied Finance 17, no. 04 (2014): 1450025. http://dx.doi.org/10.1142/s0219024914500253.

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In this paper, we study the convergence of a European lookback option with floating strike evaluated with the binomial model of Cox–Ross–Rubinstein to its evaluation with the Black–Scholes model. We do the same for its delta. We confirm that these convergences are of order [Formula: see text]. For this, we use the binomial model of Cheuk–Vorst which allows us to write the price of the option using a double sum. Based on an improvement of a lemma of Lin–Palmer, we are able to give the precise value of the term in [Formula: see text] in the expansion of the error; we also obtain the value of the

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31

Jacobs, Kristof, Linn Sandberg, and Niels Spierings. "Twitter and Facebook: Populists’ double-barreled gun?" New Media & Society 22, no. 4 (2020): 611–33. http://dx.doi.org/10.1177/1461444819893991.

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Social media are said to be a core driver of populists’ current success. Yet, our knowledge of how populist politicians use social media is limited. We argue that they can use Twitter and Facebook, politically the most important platforms, as a “double-barreled gun,” each serving a different target. Based on the architecture of the platforms and the populist ideology, we expect that Twitter is used to name and shame journalists publicly, Facebook to activate anger among citizens. Both types of use are examined by studying the Members of Parliament (MPs) of Austria, The Netherlands, and Sweden.

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32

Qiu, Shi-Fang, Heng Lian, GY Zou, and Xiao-Song Zeng. "Interval estimation for a proportion using a double-sampling scheme with two fallible classifiers." Statistical Methods in Medical Research 27, no. 8 (2016): 2478–503. http://dx.doi.org/10.1177/0962280216681599.

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Double-sampling schemes using one classifier assessing the whole sample and another classifier assessing a subset of the sample have been introduced for reducing classification errors when an infallible or gold standard classifier is unavailable or impractical. Inference procedures have previously been proposed for situations where an infallible classifier is available for validating a subset of the sample that has already been classified by a fallible classifier. Here, we consider the case where both classifiers are fallible, proposing and evaluating several confidence interval procedures for

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33

Silindir, Burcu, and Ahmet Yantir. "Gauss’s binomial formula and additive property of exponential functions on T(q,h)." Filomat 35, no. 11 (2021): 3855–77. http://dx.doi.org/10.2298/fil2111855s.

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In this article, we focus our attention on (q,h)-Gauss?s binomial formula from which we discover the additive property of (q; h)-exponential functions. We state the (q,h)-analogue of Gauss?s binomial formula in terms of proper polynomials on T(q,h) which own essential properties similar to ordinary polynomials. We present (q,h)-Taylor series and analyze the conditions for its convergence. We introduce a new (q,h)-analytic exponential function which admits the additive property. As consequences, we study (q,h)-hyperbolic functions, (q,h)-trigonometric functions and their significant properties

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34

Puhakka, Heikki J., and Pentti Kirveskari. "Globus hystericus: globus syndrome?" Journal of Laryngology & Otology 102, no. 3 (1988): 231–34. http://dx.doi.org/10.1017/s0022215100104608.

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In a double-blind study, 22 patients with typical globus symptoms were investigated by both otolaryngological and odontological methods. All the patients underwent thorough hematological, endoscopic and radiological examinations. They were randomly divided into a treatment group and a placebo group and underwent either simple occlusal adjust or mock adjustment, respectivity. The result of occlusal adjustment was assessed immediately after completion of treatment. The effect of treatment on globus symptoms was assessed 2 to 3 months later in a double-blind study. Binomial tests showed that ther

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35

Li, Shaomin, Haoyu Wei, and Xiaoyu Lei. "Heterogeneous Overdispersed Count Data Regressions via Double-Penalized Estimations." Mathematics 10, no. 10 (2022): 1700. http://dx.doi.org/10.3390/math10101700.

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Recently, the high-dimensional negative binomial regression (NBR) for count data has been widely used in many scientific fields. However, most studies assumed the dispersion parameter as a constant, which may not be satisfied in practice. This paper studies the variable selection and dispersion estimation for the heterogeneous NBR models, which model the dispersion parameter as a function. Specifically, we proposed a double regression and applied a double ℓ1-penalty to both regressions. Under the restricted eigenvalue conditions, we prove the oracle inequalities for the lasso estimators of two

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36

Sabharwal, Alka, Babita Goyal, and Vinit Singh. "A Double Truncated Binomial Model to Assess Psychiatric Health through Brief Psychiatric Rating Scale: When is Intervention Useful?" International Journal of Statistics in Medical Research 13 (January 11, 2024): 1–12. http://dx.doi.org/10.6000/1929-6029.2024.13.01.

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A double truncated binomial distribution model with ‘u’ classes truncated on left and ‘v’ classes truncated on right is introduced. Its characteristics, namely, generating functions; and the measures of skewness and kurtosis have been obtained. The unknown parameter has been estimated using the method of maximum likelihood and the method of moments. The confidence interval of the estimate has been obtained through Fisher’s information matrix. The model is applied on cross sectional data obtained through Brief Psychiatric Rating Scale (BPRS) administered on a group of school going adolesc

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37

Sönmez, Abdulcabbar. "SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX." Journal of Applied Analysis & Computation 9, no. 1 (2019): 231–44. http://dx.doi.org/10.11948/2019.231.

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38

Kılıç, Emrah, and Helmut Prodinger. "Some double binomial sums related with the Fibonacci, Pell and generalized order-$k$ Fibonacci numbers." Rocky Mountain Journal of Mathematics 43, no. 3 (2013): 975–87. http://dx.doi.org/10.1216/rmj-2013-43-3-975.

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Rahardja, Dewi, Ying Yang, and Yongming Qu. "Maximum Likelihood Estimation for a Binomial Parameter Using Double Sampling with one Type of Misclassification." American Journal of Mathematical and Management Sciences 34, no. 2 (2015): 184–96. http://dx.doi.org/10.1080/01966324.2014.987411.

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Madrid Ramírez, Raúl. "The Deconstruction of Personhood and the Rights-holder/Rights-object Binomial." Díkaion 32, no. 1 (2023): 1–29. http://dx.doi.org/10.5294/dika.2023.32.1.1.

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A long-lasting tradition of Western thinking has considered that human nature and the individual are non-historical and self-identical; both represent a fixed and immutable reality, either because they are an expression of transcendence (scholastics) or because they are an end on their own (enlightened). This notion of the human person leads to a concept of dignity that is equally self-identical and expressed in the intrinsic value of a reality whose endpoints are perfectly delineated in a dialectical binary opposition concerning non-personal realities. As a counterpart, the thesis that declar

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Jamwal, Seema, Sonali Sharma, Kuldip Raj, et al. "Orlicz Extension of New Sequence Spaces Engendered by the Composition of Binomial Matrix and Double Band Matrix." International Journal of Analysis and Applications 22 (October 2, 2024): 177. http://dx.doi.org/10.28924/2291-8639-22-2024-177.

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The present paper is emphasis on introducing Orlicz extension of new sequence spaces (i.e br,s0(M,G), br,sc(M,G) and br,s∞(M,G)) by way of the composition of binomial matrix and double band matrix, which are BK-spaces, moreover we prove that these spaces are linearly isomorphic to the spaces l∞, c0 and c. We also derive some inclusion relations. Additionally, we find the Schauder basis for these spaces and finally we also determine the α−, β− and γ− duals of these spaces.

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Asghar, Muhammad, and Ghulam Mustafa. "A Family of Binary Approximating Subdivision Schemes based on Binomial Distribution." Mehran University Research Journal of Engineering and Technology 38, no. 4 (2019): 1087–100. http://dx.doi.org/10.22581/muet1982.1904.20.

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A simplest way is introduced to generate a generalized algorithm of univariate and bivariate subdivision schemes. This generalized algorithm is based on the symbol of uniform B-splines subdivision schemes and probability generating function of Binomial distribution. We present a family of binary approximating subdivision schemes which has maximum continuity and less support size. Our proposed family members P4, P5, P6, and P7, have C7, C9, C11 and C13 continuities respectively. In fact, we use Binomial probability distribution to increase the continuity of uniform B-splines subdivision schemes

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Gweon, Hyukjun, Matthias Schonlau, and Stefan H. Steiner. "Nearest labelset using double distances for multi-label classification." PeerJ Computer Science 5 (December 9, 2019): e242. http://dx.doi.org/10.7717/peerj-cs.242.

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Multi-label classification is a type of supervised learning where an instance may belong to multiple labels simultaneously. Predicting each label independently has been criticized for not exploiting any correlation between labels. In this article we propose a novel approach, Nearest Labelset using Double Distances (NLDD), that predicts the labelset observed in the training data that minimizes a weighted sum of the distances in both the feature space and the label space to the new instance. The weights specify the relative tradeoff between the two distances. The weights are estimated from a bin

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44

Ramya, K., and G. Uma. "DETERMINATION OF QUICK SWITCHING DOUBLE SAMPLING SYSTEM BY ATTRIBUTES UNDER FUZZY BINOMIAL DISTRIBUTION – SAMPLE SIZE TIGHTENING." ICTACT Journal on Soft Computing 8, no. 1 (2017): 1539–43. http://dx.doi.org/10.21917/ijsc.2017.0214.

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Syahrial, Syahrial, Safwan Safwan, and Fitriady Fitriady. "Design of Capacitive Slit for Improving Antenna Bandwidth of Binomial Double-Strip Hexacula Omnidirectional Broadband Antenna." International Journal on Communications Antenna and Propagation (IRECAP) 13, no. 4 (2023): 181. http://dx.doi.org/10.15866/irecap.v13i4.22839.

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Rahardja, Dewi. "Bayesian Credible Sets for Odds Ratio of Two Binomial Proportions Using Double Sampling with False-Positive Misclassification." American Journal of Mathematical and Management Sciences 35, no. 3 (2016): 271–79. http://dx.doi.org/10.1080/01966324.2016.1174093.

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Rahardja, Dewi, and Dean M. Young. "Credible sets for risk ratios in over-reported two-sample binomial data using the double-sampling scheme." Computational Statistics & Data Analysis 54, no. 5 (2010): 1281–87. http://dx.doi.org/10.1016/j.csda.2009.11.011.

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Huba, Mikulas, and Damir Vrancic. "Delay Equivalences in Tuning PID Control for the Double Integrator Plus Dead-Time." Mathematics 9, no. 4 (2021): 328. http://dx.doi.org/10.3390/math9040328.

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The paper investigates and explains a new simple analytical tuning of proportional-integrative-derivative (PID) controllers. In combination with nth order series binomial low-pass filters, they are to be applied to the double-integrator-plus-dead-time (DIPDT) plant models. With respect to the use of derivatives, it should be understood that the design of appropriate filters is not only an implementation problem. Rather, it is also critical for the resulting performance, robustness and noise attenuation. To simplify controller commissioning, integrated tuning procedures (ITPs) based on three di

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Trukhanov, V. M., M. M. Sultanov, M. P. Kukhtik, and Yu A. Gorban'. "Mathematical model of failure prediction by statistical method at testing of prototypes of heat-power equipment." Safety and Reliability of Power Industry 11, no. 3 (2018): 235–40. http://dx.doi.org/10.24223/1999-5555-2018-11-3-235-240.

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The object of research is the power equipment (steam boiler, steam turbine, turbine generator, etc.) of modern heat power systems. When creating, operating and repairing expensive power equipment, one faces a relevant problem of failure prediction. To solve this problem, a task is set to develop a mathematical model of planning the scope of tests of power equipment prototypes. During the testing of test samples, the entire testing period is generally divided into a number of stages, at each of which the scope of tests is recorded, expressed in hours or cycles, depending on whether the power eq

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Sharma, Tarang, Peter Gøtzsche, and Oliver Kuss. "VP26 Comparing Statistical Methods For Meta-Analysis Of Rare Event Data." International Journal of Technology Assessment in Health Care 33, S1 (2017): 158–59. http://dx.doi.org/10.1017/s0266462317003166.

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INTRODUCTION:We aimed to identify the validity and robustness of effect estimates for serious rare adverse events in clinical study reports of antidepressant trials, across different meta-analysis methods for rare binary events data (1,2).METHODS:Four serious rare adverse events (all-cause mortality, suicidality, aggressive behaviour and akathisia) were meta-analyzed using different methods (3). The Yusuf-Peto odds ratio (OR), which ignores studies with no events in the treatment arms, was compared with the alternative approaches of generalized linear mixed models (GLMM), conditional logistic

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