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1

Dehnel, Grażyna. "M-ESTIMATORS IN BUSINESS STATISTICS." Statistics in Transition. New Series 17, no. 4 (2016): 749–62. http://dx.doi.org/10.21307/stattrans-2016-050.

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2

Dehnel, Grażyna. "M-Estimators in business statistics." Statistics in Transition new series 17, no. 4 (2016): 749–62. http://dx.doi.org/10.59170/stattrans-2016-041.

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Recent years have seen a dynamic development in statistical methods for analysing data contaminated with outliers. One of the more important techniques that can deal with outlying observations is robust regression, which represents four decades of research. Until recently the implementation of robust regression methods, such as M-estimation or MM-estimation, was limited owing to their iterative nature. With advances in computing power and the growing availability of statistical packages, such as R and SAS, Stata, the applicability of robust regression methods has increased considerably.The aim
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3

Douglas, Michael R. "The statistics of string/M theory vacua." Journal of High Energy Physics 2003, no. 05 (2003): 046. http://dx.doi.org/10.1088/1126-6708/2003/05/046.

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4

Bedbur, Stefan, Udo Kamps, and Miriam Marner. "Rényi entropy of m-generalized order statistics." Communications in Statistics - Theory and Methods 49, no. 14 (2019): 3397–406. http://dx.doi.org/10.1080/03610926.2019.1588321.

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5

Eryilmaz, Serkan. "Discrete Scan Statistics Generated by Exchangeable Binary Trials." Journal of Applied Probability 47, no. 4 (2010): 1084–92. http://dx.doi.org/10.1239/jap/1294170521.

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Let {Xi}i=1n be a sequence of random variables with two possible outcomes, denoted 0 and 1. Define a random variable Sn,m to be the maximum number of 1s within any m consecutive trials in {Xi}i=1n. The random variable Sn,m is called a discrete scan statistic and has applications in many areas. In this paper we evaluate the distribution of discrete scan statistics when {Xi}i=1n consists of exchangeable binary trials. We provide simple closed-form expressions for both conditional and unconditional distributions of Sn,m for 2m ≥ n. These results are also new for independent, identically distribut
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6

Eryilmaz, Serkan. "Discrete Scan Statistics Generated by Exchangeable Binary Trials." Journal of Applied Probability 47, no. 04 (2010): 1084–92. http://dx.doi.org/10.1017/s0021900200007385.

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Let {X i } i=1 n be a sequence of random variables with two possible outcomes, denoted 0 and 1. Define a random variable S n,m to be the maximum number of 1s within any m consecutive trials in {X i } i=1 n . The random variable S n,m is called a discrete scan statistic and has applications in many areas. In this paper we evaluate the distribution of discrete scan statistics when {X i } i=1 n consists of exchangeable binary trials. We provide simple closed-form expressions for both conditional and unconditional distributions of S n,m for 2m ≥ n. These results are also new for independent, ident
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7

Barakat, H. M., Magdy E. El-Adll, and M. E. Sobh. "Bootstrapping $ m $-generalized order statistics with variable rank." AIMS Mathematics 7, no. 8 (2022): 13704–32. http://dx.doi.org/10.3934/math.2022755.

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<abstract><p>In this paper, several bootstrap properties of $ m $-generalized order statistics ($ m $-GOSs) with variable rank (central and intermediate) are revealed. We study the inconsistency, weak consistency and strong consistency of bootstrapping central and intermediate $ m $-GOSs when the normalizing constants are assumed to be known or estimated from the re-sampled data using a proper re-sample size. Furthermore, sufficient conditions for the weak and strong consistencies of the bootstrapping distributions of central and intermediate $ m $-GOSs based on the normalizing con
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8

Ruggeri, Fabrizio. "Lee, M. P. (2012). Bayesian Statistics: An Introduction." Statistical Methods in Medical Research 25, no. 5 (2016): 2397–98. http://dx.doi.org/10.1177/0962280213485508.

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9

Aerts, M., P. Janssen, and N. Veraverbeke. "Sequential confidence intervals based on generalized m-statistics." Sequential Analysis 6, no. 3 (1987): 187–206. http://dx.doi.org/10.1080/07474948708836126.

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10

Abada-Simon, M., and M. Aubier. "Radio burst statistics for M dwarf flare stars." Astronomy and Astrophysics Supplement Series 125, no. 3 (1997): 511–21. http://dx.doi.org/10.1051/aas:1997238.

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11

David, Herbert A. "Statistics on the Table: The History of Statistical Concepts and Methods. Stephen M. Stigler." Quarterly Review of Biology 75, no. 2 (2000): 170. http://dx.doi.org/10.1086/393386.

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12

Stamhuis, Ida H. "Statistics on the Table: The History of Statistical Concepts and Methods. Stephen M. Stigler." Isis 91, no. 4 (2000): 762–63. http://dx.doi.org/10.1086/384953.

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13

Almaspoor, Zahra, Ali Akbar Jafari, and Saeid Tahmasebi. "Measures of Extropy for Concomitants of Generalized Order Statistics in Morgenstern Family." Journal of Statistical Theory and Applications 21, no. 1 (2022): 1–20. http://dx.doi.org/10.1007/s44199-021-00038-6.

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AbstractIn this paper, a measure of extropy is obtained for concomitants of m-generalized order statistics in the Morgenstern family. The cumulative residual extropy (CREX) and negative cumulative extropy (NCEX) are presented for the rth concomitant of m-generalized order statistics. In addition, the problem of estimating the CREX and NCEX is studied utilizing the empirical method in concomitants of m-generalized order statistics. Some applications of these results are given for the concomitants of order statistics and record values.
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14

Shiraishi, Taka-aki. "ON SCALE-INVARIANT M-STATISTICS IN MULTIVARIATE K SAMPLES." JOURNAL OF THE JAPAN STATISTICAL SOCIETY 26, no. 2 (1996): 241–53. http://dx.doi.org/10.14490/jjss1995.26.241.

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15

Joshi, J. M. C. "Some applications of S. M. Joshi transform in statistics." Integral Transforms and Special Functions 15, no. 2 (2004): 117–27. http://dx.doi.org/10.1080/10652460310001600753.

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16

Yacoub, M. D., J. E. V. Bautista, and L. Guerra de Rezende Guedes. "On higher order statistics of the Nakagami-m distribution." IEEE Transactions on Vehicular Technology 48, no. 3 (1999): 790–94. http://dx.doi.org/10.1109/25.764995.

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17

Wang, Qiying. "On Berry-Esseen rates for m-dependent U-statistics." Statistics & Probability Letters 41, no. 2 (1999): 123–30. http://dx.doi.org/10.1016/s0167-7152(98)00128-x.

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18

Ubriaco, Marcelo R. "Stability and anyonic behavior of systems with M-statistics." Physica A: Statistical Mechanics and its Applications 392, no. 20 (2013): 4868–73. http://dx.doi.org/10.1016/j.physa.2013.06.062.

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19

Han, Sang-Moon. "Adaptive M-estimation using Selector Statistics in Location Model." Communications for Statistical Applications and Methods 9, no. 2 (2002): 325–35. http://dx.doi.org/10.5351/ckss.2002.9.2.325.

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20

RAMIREZ, CAROLINE, CANDACE SCHAU, and ESMA EMMİOĞLU. "THE IMPORTANCE OF ATTITUDES IN STATISTICS EDUCATION." STATISTICS EDUCATION RESEARCH JOURNAL 11, no. 2 (2012): 57–71. http://dx.doi.org/10.52041/serj.v11i2.329.

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People forget what they do not use. But attitudes “stick.” Our article emphasizes the importance of students’ attitudes toward statistics. We examine 15 surveys that purport to assess these attitudes and then describe the Survey of Attitudes Toward Statistics, a commonly used attitude survey. We present our conceptual model of Students’ Attitudes Toward Statistics (SATS-M), which is congruent with Eccles and colleagues’ Expectancy-Value Theory (Eccles’ EVT), as well as others. The SATS-M includes three broad constructs that impact Statistics Course Outcomes: Student Characteristics, Previous A
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21

Bartolomei, H., M. Kumar, R. Bisognin, et al. "Fractional statistics in anyon collisions." Science 368, no. 6487 (2020): 173–77. http://dx.doi.org/10.1126/science.aaz5601.

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Two-dimensional systems can host exotic particles called anyons whose quantum statistics are neither bosonic nor fermionic. For example, the elementary excitations of the fractional quantum Hall effect at filling factor ν = 1/m (where m is an odd integer) have been predicted to obey Abelian fractional statistics, with a phase ϕ associated with the exchange of two particles equal to π/m. However, despite numerous experimental attempts, clear signatures of fractional statistics have remained elusive. We experimentally demonstrate Abelian fractional statistics at filling factor ν = ⅓ by measuring
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22

Barakat, H. M., and A. H. Syam. "Comparison between the two Huang-Kotz FGM types by some information measures in generalized order statistics and their concomitants." Filomat 37, no. 12 (2023): 3999–4016. http://dx.doi.org/10.2298/fil2312999b.

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In this paper, we study the concomitants of m?dual generalized order statistics (and consequently m?generalized order statistics) from Huang-Kotz Farlie-Gumble-Morgenstern bivariate distribution (HK-FGM) of the types 1 and 2. Some important information measures are derived and studied for ordinary order statistics and sequential order statistics with a comparison. Specifically, the Shannon entropy, inaccuracy measure, and Fisher information number. Moreover, a comparison between the two types of HK-FGM distribution is carried out.
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23

Narayana, C., B. Mahaboob, B. Venkateswarlu, J. Ravi sankar, and P. Balasiddamuni. "A Treatise on Testing General Linear Hypothesis in Stochastic Linear Regression Model." International Journal of Engineering & Technology 7, no. 4.10 (2018): 539. http://dx.doi.org/10.14419/ijet.v7i4.10.21223.

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The main objective of this research article is to propose test statistics for testing general linear hypothesis about parameters in stochastics linear regression model using studentized residuals, RLS estimates and unrestricted internally studentized residuals. In 1998, M. Celia Rodriguez -Campos et.al [1] introduced a new test statistics to test the hypothesis of a generalized linear model in a regression context with random design. Li Cai et.al [2] provide a new test statistic for testing linear hypothesis in an OLS regression model that not assume homoscedasticity. P. Balasiddamuni et.al [3
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24

Rahmawati, Charissa Kezia, and Bayu Arie Fianto. "ANALISIS DESKRIPTIF PADA DIMENSI KUALITAS LAYANAN MOBILE BANKING (M-BANKING) TERHADAP KEPUASAN NASABAH PERBANKAN SYARIAH." Jurnal Ekonomi Syariah Teori dan Terapan 7, no. 6 (2020): 1118. http://dx.doi.org/10.20473/vol7iss20206pp1118-1127.

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This research presents an initial study of customer satisfaction as measured by five mobile banking (m-banking) quality services dimensions using descriptive statistics and mean score. The survey data were obtained from 100 respondents of mobile banking (m-baking) users by using a purposive sampling method. The data is processed using validity and reliability test to check the quality of the data. The results shown in this research are explanatory or extracting information on which factors the customer shows high and low satisfaction.Keywords: Customer Satisfaction, Descriptive Statistic, Mobi
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25

Oliveira, Ivanildo A. de, Milton C. C. Campos, Robson V. dos Santos, et al. "Geostatistics and Sample Density of Chemical Attributes for Soil under Sugarcane and Agroforestry in Humaitá – AM, Brazil." Journal of Sustainable Development 16, no. 4 (2023): 79. http://dx.doi.org/10.5539/jsd.v16n4p79.

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There is a lack of studies focusing on spatial variance of chemical attributes in Amazonas, Brazil. The objective of this study was to evaluate geo-statistics and sample density of chemical attributes in soils under sugarcane and agroforestry, Humaitá, Amazon state, Brazil. The research was carried out in the municipality of Humaitá, Amazon state, the areas were in meshes of 70 m x 70 m regularly spaced by 10 m, with 64 points per area, and then soil samples were collected in layers of 0.0-0.2 m and 0.4-0.6 m. We performed chemical analyses of the proprieties of soil. The
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26

Barakat, Haroon M., and Imtiyaz A. Shah. "Some Characterizations of the Exponential Distribution by Generalized Order Statistics, with Applications to Statistical Prediction Problem." Revista Colombiana de Estadística 45, no. 1 (2022): 149–59. http://dx.doi.org/10.15446/rce.v45n1.95602.

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Some new characterization properties of the exponential distribution based on two non-adjacent m-generalized order statistics (consequently m dual generalized order statistics), m ̸= −1, coming from two independent exponential distributions are derived. The result of this paper provides a beneficial strategy to predict the failure time of some survived components in a lifetime experiment by using the result of another independent lifetime experiment.
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27

RACHIDI, M., E. H. SAIDI, and J. ZEROUAOUI. "FRACTIONAL STATISTICS IN TERMS OF THE r-GENERALIZED FIBONACCI SEQUENCES." International Journal of Modern Physics A 18, no. 01 (2003): 159–71. http://dx.doi.org/10.1142/s0217751x03012394.

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We develop a method to approach quantum gases of quasiparticles with generalized statistics. This way is based on Fibonacci hierarchies and offers an alternative issue to the Haldane–Wu method. We give the statistical weights densities ρM of gases of quasiparticles with s = 1/M : mod (1), M ≥ 2, using the combinatorial aspects of M-generalized Fibonacci series. This is a remarkable feature which envelopes naturally the Fermi and Bose statistics.
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28

Liao, Xiou, Tongtong Wang, and Guohua Zou. "A Method for Detecting Outliers from the Gamma Distribution." Axioms 12, no. 2 (2023): 107. http://dx.doi.org/10.3390/axioms12020107.

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Outliers often occur during data collection, which could impact the result seriously and lead to a large inference error; therefore, it is important to detect outliers before data analysis. Gamma distribution is a popular distribution in statistics; this paper proposes a method for detecting multiple upper outliers from gamma (m,θ). For computing the critical value of the test statistic in our method, we derive the density function for the case of a single outlier and design two algorithms based on the Monte Carlo and the kernel density estimation for the case of multiple upper outliers. A sim
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29

Husseiny, I. A., and A. H. Syam. "The Extropy of Concomitants of Generalized Order Statistics from Huang–Kotz–Morgenstern Bivariate Distribution." Journal of Mathematics 2022 (August 27, 2022): 1–11. http://dx.doi.org/10.1155/2022/6385998.

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In this paper, we study the extropy for concomitants of m − generalized order statistics ( m − GOSs) from Huang–Kotz–Farlie–Gumbel–Morgenstern (HK-FGM) bivariate distribution. Moreover, the cumulative residual extropy (CREX) and negative cumulative extropy (NCEX) are depicted. Furthermore, the empirical technique in conjunction with the concomitant of m − GOS is used to investigate the problem of estimating the CREX and NCEX. The concomitants of order statistics and record values are offered as some applications of these findings.
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30

Ni, Qionglin. "Statistical theory for the compressible scalar turbulence with inviscid limitation." Modern Physics Letters B 29, no. 10 (2015): 1550037. http://dx.doi.org/10.1142/s0217984915500372.

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We developed the statistical theory for compressible scalar turbulence in the inviscid limit, in which the spatial structures of the precursors of velocity and scalar discontinuities (i.e. preshock and prefront) were discussed. By analyzing the asymptotic statistics of scalar turbulence in the strong compression region, it was found that the prefront structure of scalar influenced negligible to the statistics of velocity gradient, except certain Mach number (M) modulations such as M-2/3 and M-4/3.
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31

Savelov, M. P. "Limit joint distribution of $U$-statistics, $M$-estimates, and sample quantiles." Вестник Московского университета. Серия 1: Математика. Механика, no. 6 (2023): 9–16. http://dx.doi.org/10.55959/msu0579-9368-1-64-6-1.

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Рассматриваются независимые одинаково распределенные случайные векторы $X_1, X_2, \ldots, X_n$, а также вектор $V(X_1, X_2, \ldots, X_n)$, каждая компонента которого является или $U$-статистикой, или $M$-оценкой. Установлены достаточные условия асимптотической нормальности вектора $V(X_1, X_2, \ldots, X_n)$. В случае, когда $X_1, X_2, \ldots$ одномерны, получены достаточные условия асимптотической нормальности вектора, каждая компонента которого является или $U$-статистикой, или $M$-оценкой, или выборочной квантилью.
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32

Ramello, Giovanni B., and Francesco Silva. "History, statistics and theory: Frederic M. Scherer and modern industrial organization." ECONOMIA E POLITICA INDUSTRIALE, no. 1 (March 2014): 5–11. http://dx.doi.org/10.3280/poli2014-001001.

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33

Abadir, Karim M., and André Lucas. "Quantiles for t-statistics based on M-estimators of unit roots." Economics Letters 67, no. 2 (2000): 131–37. http://dx.doi.org/10.1016/s0165-1765(99)00254-2.

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34

Goroncy, Agnieszka, and Udo Kamps. "Relations for m-generalized order statistics via an Opial-type inequality." Journal of Statistical Planning and Inference 142, no. 6 (2012): 1457–63. http://dx.doi.org/10.1016/j.jspi.2011.12.026.

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35

Frey, Jesse. "Modern Applied U-Statistics by KOWALSKI, J. and TU, X. M." Biometrics 64, no. 3 (2008): 994–95. http://dx.doi.org/10.1111/j.1541-0420.2008.01082_9.x.

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36

Savitz, Ryan, Fred Savitz, David DiMarco, and Blane Hollingsworth. "The M-tile Means as a Statistics Project and Pedagogical Aid." PRIMUS 30, no. 3 (2019): 307–15. http://dx.doi.org/10.1080/10511970.2019.1577931.

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37

Taylor, Jeremy A., and Marta I. Garrido. "Porthole and Stormcloud: Tools for Visualisation of Spatiotemporal M/EEG Statistics." Neuroinformatics 18, no. 3 (2020): 351–63. http://dx.doi.org/10.1007/s12021-019-09447-6.

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38

Kolachev, N. I. "Application of the m* and d* Statistics for Assessing the Quality of Data in Psychological Research Using Benford's Law (Illustrated with Reaction Time Measurements)." Моделирование и анализ данных 14, no. 2 (2024): 23–44. http://dx.doi.org/10.17759/mda.2024140202.

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<p>The objective of the proposed study was to examine the properties of statistics used to assess the conformity of the distribution of the first significant digit to Benford's Law, m* and d*, with relatively modest sample sizes (10≤n ≤70). A simulation study was conducted to achieve this goal. Data were simulated following a log-normal distribution with parameters that mimic the distribution of reaction time measurements. The distribution of the first significant digit was examined in standardized values raised to the power of γ; 5≤γ≤100.
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39

Xiong, Qiang, Zhiyong Hu, and Yuan Li. "Statistic inference for a single-index ARCH-M model." Communications in Statistics - Theory and Methods 47, no. 1 (2017): 102–17. http://dx.doi.org/10.1080/03610926.2017.1300283.

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40

Duffy, Ken R., Claudio Macci, and Giovanni Luca Torrisi. "Sample Path Large Deviations for Order Statistics." Journal of Applied Probability 48, no. 01 (2011): 238–57. http://dx.doi.org/10.1017/s0021900200007749.

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We consider the sample paths of the order statistics of independent and identically distributed random variables with common distribution function F. If F is strictly increasing but possibly having discontinuities, we prove that the sample paths of the order statistics satisfy the large deviation principle in the Skorokhod M 1 topology. Sanov's theorem is deduced in the Skorokhod M'1 topology as a corollary to this result. A number of illustrative examples are presented, including applications to the sample paths of trimmed means and Hill plots.
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41

JAIN, PANKAJ, and JOHN P. RALSTON. "ANISOTROPY IN THE PROPAGATION OF RADIO POLARIZATIONS FROM COSMOLOGICALLY DISTANT GALAXIES." Modern Physics Letters A 14, no. 06 (1999): 417–32. http://dx.doi.org/10.1142/s0217732399000481.

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Radiation traversing the observable universe provides powerful ways to probe anisotropy of electromagnetic propagation. A controversial recent study claimed a signal of dipole character. Here we test a new and independent data set of 361 points under the null proposal of statistical independence of linear polarization alignments relative to galaxy axes, versus angular positions. The null hypothesis is tested via maximum likelihood analysis of best fits among numerous independent types of factored distributions. We also examine single-number correlations which are parameter free, invariant unde
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42

Casinillo, Leomarich F. "Modeling Creativity and Enjoyment in Learning Statistics Online in the New Normal." Philippine Social Science Journal 5, no. 4 (2022): 100–108. http://dx.doi.org/10.52006/main.v5i4.601.

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In any school, creative learning as an enjoyable experience for students signals effective cognitive thinking in the teaching-learning environment. This study targets to explain the level of how creative and enjoyable learning statistics and determine its cognitive factors among students amid the COVID-19 pandemic. The study exploited secondary data from an existing study and analyzed it using descriptive statistics and regression modeling. Results showed that learning statistics during the pandemic is “moderately" creative (M=6.07, SD=1.86) and "moderately" enjoyable (M=5.78, SD=1.98). Based
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43

Abd Elgawad, Mohamed A., Haroon M. Barakat, Islam A. Husseiny, et al. "Fisher Information, Asymptotic Behavior, and Applications for Generalized Order Statistics and Their Concomitants Based on the Sarmanov Family." Axioms 13, no. 1 (2023): 17. http://dx.doi.org/10.3390/axioms13010017.

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In this paper, the Fisher information (FI), relevant to m-generalized order statistics (m-GOSs) and their concomitants of the shape-parameter of the Sarmanov family of bivariate distributions, is investigated. In addition, we study the concomitants of m-GOSs from this family. Furthermore, we look at how those concomitants were distributed collectively. The FI contained in the scale and shape parameters of the exponential and power function distributions, respectively, in concomitants of m-GOSs is obtained. A study of the asymptotic behavior of the concomitants of ordinary order statistics is a
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44

FUJIKAWA, KAZUO. "SPIN-STATISTICS THEOREM IN PATH INTEGRAL FORMULATION." International Journal of Modern Physics A 16, no. 24 (2001): 4025–44. http://dx.doi.org/10.1142/s0217751x0100516x.

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We present a coherent proof of the spin-statistics theorem in path integral formulation. The local path integral measure and Lorentz-invariant local Lagrangian, when combined with the Green functions defined in terms of time ordered products, ensure causality regardless of statistics. The Feynman m-iε prescription ensures the positive energy condition regardless of statistics, and the abnormal spin-statistics relation for both the spin-0 scalar particles and spin-1/2 Dirac particles is excluded if one imposes the positive norm condition in conjunction with Schwinger's action principle. The min
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NAKANISHI, TOMOKI. "GENERALIZED SUPERSYMMETRY ON RIEMANN SURFACES AND THE ASSOCIATED STRING MODELS." Modern Physics Letters A 03, no. 15 (1988): 1507–19. http://dx.doi.org/10.1142/s021773238800180x.

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We propose a generalization of the concept of supersymmetry on Riemann surfaces. Generators of this symmetry intermix M fields of different spin. Two types of statistics, i.e., bosonic and fermionic statistics, are allowed for parameters of infinitesimal transformations. We also study the possibility of string models associated with these symmetries. The algebraic structure of a part of generalized supersymmetry is regarded as a sort of an M-th root of the Virasoro algebra.
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46

Wu, Yi, Xuejun Wang, and Shuhe Hu. "MODERATE DEVIATION PRINCIPLE OF SAMPLE QUANTILES AND ORDER STATISTICS." Probability in the Engineering and Informational Sciences 32, no. 4 (2017): 603–14. http://dx.doi.org/10.1017/s0269964817000420.

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In this paper, we mainly study the moderate deviation principle of sample quantiles and order statistics for stationary m-dependent random variables. The results obtained in this paper extend the corresponding ones for an independent and identically distributed sequence to a stationary m-dependent sequence.
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47

Bachir, Ahmed, Ibrahim Mufrah Almanjahie, and Mohammed Kadi Attouch. "The k Nearest Neighbors Estimator of the M-Regression in Functional Statistics." Computers, Materials & Continua 65, no. 3 (2020): 2049–64. http://dx.doi.org/10.32604/cmc.2020.011491.

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48

Auster, Carol J. "Probability Sampling and Inferential Statistics: An Interactive Exercise Using M&M's." Teaching Sociology 28, no. 4 (2000): 379. http://dx.doi.org/10.2307/1318587.

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49

Weyl, Peter K. "Practical Spreadsheet Statistics and Curve Fitting for Scientists and Engineers.Louis M. Mezei." Quarterly Review of Biology 66, no. 3 (1991): 370. http://dx.doi.org/10.1086/417325.

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50

Aboukalam, M. A. F. "Some robust two-sample test statistics based on m-estimators of location." Communications in Statistics - Simulation and Computation 21, no. 1 (1992): 133–48. http://dx.doi.org/10.1080/03610919208813011.

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