Relevant bibliographies by topics / Discrete random variable

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Discrete random variable'

Author: Grafiati
Published: 28 May 2022
Last updated: 31 July 2025

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Journal articles on the topic "Discrete random variable"

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Yanga, Jinyoung, and Mijeong Kim. "Independence test of a continuous random variable and a discrete random variable." Communications for Statistical Applications and Methods 27, no. 3 (2020): 285–99. http://dx.doi.org/10.29220/csam.2020.27.3.285.

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Pratsiovytyi, M., N. Vasylenko, Ya Goncharenko, and I. Lysenko. "TWO-SYMBOL SYSTEM OF ENCODING OF NUMBERS AND DISCRETE DISTRIBUTIONS OF RANDOM VARIABLES." Bukovinian Mathematical Journal 11, no. 2 (2023): 225–35. http://dx.doi.org/10.31861/bmj2023.02.22.

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We consider discrete distributions of random variables, defined by various two-symbol systems of encoding of real numbers (with zero and non-zero redundancy, with one and two bases, in particular with different sings), and study structural, topological, metric, and structurally fractal properties their point spectra. The general criterion for random variable with independent digits of two-symbol representation to have discrete distribution (analog of the P. L’ evi theorem for sum of random series with discretely distributed terms) is proved and properties of its spectrum are described. In the
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Yang, Jielin. "The Distribution Function of Random Variable and Extension of Mathematical Expectation." Journal of Physics: Conference Series 3004, no. 1 (2025): 012001. https://doi.org/10.1088/1742-6596/3004/1/012001.

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Abstract This work reveals the existence of non-discrete and non-continuous random variables and discusses specific characteristics of the distribution functions of discrete and continuous random variables. It is constructed to create a class of single random variables that are neither discrete nor continuous. Their distribution functions are compared with those of continuous and discrete random variables. Its qualities are then spoken about. To evaluate the discontinuous points of these random variables, an example is provided. We also examine the process of computing the mathematical expecta
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Dhritikesh, Chakrabarty. "Beautiful Multiplicative Property of Geometric Expectation." Partners Universal International Innovation Journal (PUIIJ) 02, no. 02 (2024): 92–98. https://doi.org/10.5281/zenodo.10999414.

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Concepts of geometric expectation and harmonic expectation of random variable were introduced in a recent study with formulating their definitions in the case of discrete random variable. It was thought that geometric expectation might carry some properties. A beautiful multiplicative property of geometric expectation has been derived in this study. The property has been derived in the case of discrete random variable. This article presents derivation of this property of geometric expectation with numerical example.
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DONG, YUGE, and AINAN WANG. "A FUZZY RELIABILITY ANALYSIS BASED ON THE TRANSFORMATION BETWEEN DISCRETE FUZZY VARIABLES AND DISCRETE RANDOM VARIABLES." International Journal of Reliability, Quality and Safety Engineering 13, no. 01 (2006): 25–35. http://dx.doi.org/10.1142/s0218539306002070.

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When fuzzy information is taken into consideration in design, it is difficult to analyze the reliability of machine parts because we usually must deal with random information and fuzzy information simultaneously. Therefore, in order to make it easy to analyze fuzzy reliability, this paper proposes the transformation between discrete fuzzy random variable and discrete random variable based on a fuzzy reliability analysis when one of the stress and strength is a discrete fuzzy variable and the other is a discrete random variable. The transformation idea put forwards in this paper can be extended
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Nikolov, Nikolai, and Mladen Savov. "Properties and Conjectures Regarding Discrete Renewal Sequences." Mathematics and Informatics 67, no. 2 (2024): 111–18. https://doi.org/10.53656/math2024-2-1-pro.

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In this work we review and derive some elementary properties of the discrete renewal sequences based on a positive, finite and integervalued random variable. Our results consider these sequences as dependent on the probability masses of the underlying random variable. In particular we study the minima and the maxima of these sequences and prove that they are attained for indices of the sequences smaller or equal than the support of the underlying random variable. Noting that the minimum itself is a minimum of multi-variate polynomials we conjecture that one universal polynomial envelopes the m
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Kim, Dae San, Taekyun Kim, Wonjoo Kim, Jongkyum Kwon, and Hyunseok Lee. "Degenerate Moments and Expectation of Monomials." European Journal of Pure and Applied Mathematics 17, no. 4 (2024): 3847–55. http://dx.doi.org/10.29020/nybg.ejpam.v17i4.5604.

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The aim of this paper is twofold. Firstly, we obtain expressions of the degenerate moments of a discrete nonnegative integer valued random variable. Secondly, we get an expression for the expectation of any monomial in discrete nonnegative integer-valued random variables.
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Okazaki, Hiroyuki, and Yasunari Shidama. "Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables." Formalized Mathematics 18, no. 4 (2010): 213–17. http://dx.doi.org/10.2478/v10037-010-0026-6.

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Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables In this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables. In this paper we formalize the variance of a random variable and prove Chebyshev's inequality. Next we formalize the product probability measure on the Cartesian product of discrete spaces. In the final part of this article we define the algebra of real-valued random variables.
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Kunte, Sudhakar, and R. N. Rattihalli. "Uniform Random Variables: Do They Exist in the Subjective Sense ?" Calcutta Statistical Association Bulletin 42, no. 1-2 (1992): 125–28. http://dx.doi.org/10.1177/0008068319920111.

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ALWAKEEL, ALI HUSEEN. "ON DISCRETE WEIBULL DISTRIBUTION." Journal of Economics and Administrative Sciences 20, no. 79 (2014): 1–9. http://dx.doi.org/10.33095/jeas.v20i79.1969.

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Most of the Weibull models studied in the literature were appropriate for modelling a continuous random variable which assumes the variable takes on real values over the interval [0,∞]. One of the new studies in statistics is when the variables take on discrete values. The idea was first introduced by Nakagawa and Osaki, as they introduced discrete Weibull distribution with two shape parameters q and β where 0 < q < 1 and b > 0. Weibull models for modelling discrete random variables assume only non-negative integer values. Such models are useful for modelling for example; the number o
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Dissertations / Theses on the topic "Discrete random variable"

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Челядін, Д. О. "Інтерактивні практичні завдання для проведення математичних операцій над ДВВ". Thesis, Сумський державний університет, 2015. http://essuir.sumdu.edu.ua/handle/123456789/43378.

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При дослідженні багатьох проблем виникають такі випадкові події, наслідком яких є поява деякого числа, заздалегідь невідомого. Тому ці числові значення – випадкові. Дискретна випадкова величина (ДВВ) приймає відокремлені ізольовані одне від одного числові значення (їх можна пронумерувати) з відповідними ймовірностями.
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Young, David J. "The generation of correlated Rayleigh random variates by discrete Fourier transform and quality measures for random variate generation." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq22432.pdf.

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Hörmann, Wolfgang, and Gerhard Derflinger. "An Automatic Generator for a Large Class of Unimodal Discrete Distributions." Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business, 1997. http://epub.wu.ac.at/1748/1/document.pdf.

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The automatic Algorithm ARI developed in this paper can generate variates from a large class of unimodal discrete distributions. It is only necessary to know the mode of the distribution and to have a subprogram available that can evaluate the probabilities. In a set up step the algorithm constructs a table mountain shaped hat function. Then rejection inversion, a new variant of the rejection method for discrete distributions that needs only one uniform random number per iteration, is used to sample from the desired distribution. It is shown that the expeceted number of iterations is uniformly
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Basna, Rani. "Edgeworth Expansion and Saddle Point Approximation for Discrete Data with Application to Chance Games." Thesis, Linnaeus University, School of Computer Science, Physics and Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-8681.

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<p>We investigate mathematical tools, Edgeworth series expansion and the saddle point method, which are approximation techniques that help us to estimate the distribution function for the standardized mean of independent identical distributed random variables where we will take into consideration the lattice case. Later on we will describe one important application for these mathematical tools where game developing companies can use them to reduce the amount of time needed to satisfy their standard requests before they approve any game</p>
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ROCHA, Samy Marques. "Distribuição Binomial e Aplicações." Universidade Federal do Maranhão, 2017. http://tedebc.ufma.br:8080/jspui/handle/tede/1271.

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Submitted by Maria Aparecida (cidazen@gmail.com) on 2017-04-07T15:18:02Z No. of bitstreams: 1 Samy marques.pdf: 1541887 bytes, checksum: 6335e5c12fc4f4fec24616c00e7613b4 (MD5)<br>Made available in DSpace on 2017-04-07T15:18:02Z (GMT). No. of bitstreams: 1 Samy marques.pdf: 1541887 bytes, checksum: 6335e5c12fc4f4fec24616c00e7613b4 (MD5) Previous issue date: 2017-02-16<br>The Binomial probability distribution is one of the most commonly used to represent data of discrete random variables. In this work, we present the construction of the Binomial model and its main characteristics. The relation
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Allahyani, Seham. "Contributions to filtering under randomly delayed observations and additive-multiplicative noise." Thesis, Brunel University, 2017. http://bura.brunel.ac.uk/handle/2438/16297.

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This thesis deals with the estimation of unobserved variables or states from a time series of noisy observations. Approximate minimum variance filters for a class of discrete time systems with both additive and multiplicative noise, where the measurement might be delayed randomly by one or more sample times, are investigated. The delayed observations are modelled by up to N sample times by using N Bernoulli random variables with values of 0 or 1. We seek to minimize variance over a class of filters which are linear in the current measurement (although potentially nonlinear in past measurements
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Halconruy, Hélène. "Calcul de Malliavin et structures de Dirichlet pour des variables aléatoires indépendantes." Electronic Thesis or Diss., Institut polytechnique de Paris, 2020. http://www.theses.fr/2020IPPAT016.

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Cette thèse porte sur le calcul de Malliavin dont on munit deux cadres discrets. On équipe tout produit dénombrable d'espaces de probabilités d'une structure de Dirichlet-Malliavin au moyen d'opérateurs (gradient, divergence, opérateur nombre), d'une formule d'intégration par parties, et des formes de Dirichlet induites. On obtient les analogues discrets aux identités fonctionnelles classiques des processus Brownien et Poisson dont les structures de Dirichlet s'écrivent comme limites des structures induites par notre formalisme. Des critères de Stein-Malliavin discrets sont établis pour les ap
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Olson, Brent. "Evaluating the error of measurement due to categorical scaling with a measurement invariance approach to confirmatory factor analysis." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/332.

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It has previously been determined that using 3 or 4 points on a categorized response scale will fail to produce a continuous distribution of scores. However, there is no evidence, thus far, revealing the number of scale points that may indeed possess an approximate or sufficiently continuous distribution. This study provides the evidence to suggest the level of categorization in discrete scales that makes them directly comparable to continuous scales in terms of their measurement properties. To do this, we first introduced a novel procedure for simulating discretely scaled data that was both i
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NAVRÁTIL, Pavel. "Statistické vyhodnocení experimentálních dat." Master's thesis, 2012. http://www.nusl.cz/ntk/nusl-81285.

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This thesis contains theory of probability and statistical sets. Solved and unsolved problems of probability, random variable and distributions random variable, random vector, statistical sets, regression and correlation analysis. Unsolved problems contains solutions.
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Lee, Yen, and 李晏. "Generation of non-normal approximated discrete random variables." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/40508739609250644221.

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碩士<br>國立政治大學<br>心理學研究所<br>98<br>When conducting the robustness researches about normality assumption with Monte Carlo method, a procedure for simulating non-normal data is needed. Some procedures for simulating the non-normal continuous data have been proposed, but the discrete data of ordered categorized variables (e.g., Likert-Type scale) are what we met mostly in practice. To estimate the discrete probability distribution precisely and choose one from infinite discrete probability distributions with the same constraints are 2 difficulties encountered on discrete data simulating process. The
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Books on the topic "Discrete random variable"

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Devroye, Luc. Non-uniform random variate generation. Springer-Verlag, 1986.

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Paliy, Irina. Probability theory and mathematical statistics. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1065828.

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The tutorial is an introductory course in probability theory and mathematical statistics. Elements of combinatorics, basic concepts and theorems of probability theory, discrete random variables, continuous random variables, some limit theorems, one-dimensional and two-dimensional samples, point and interval estimation of parameters of the general population, testing of statistical hypotheses, elements of queuing theory are considered. The presentation of the theoretical material is accompanied by a large number of detailed examples of problem solving. For students of technical and economic fie
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Paliy, Irina, V. A. Dalinger, and B. S. Dobronec. Probability theory and mathematical statistics. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/1859126.

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The textbook is an introductory course in probability theory and mathematical statistics. Elements of combinatorics, basic concepts and theorems of probability theory, discrete random variables, continuous random variables, some limit theorems, one-dimensional and two-dimensional samples, point and interval estimation of the parameters of the general population, verification of statistical hypotheses, elements of queuing theory are considered. The presentation of the theoretical material is accompanied by a large number of detailed examples of problem solving.&#x0D; For students of technical a
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Schurz, Henri, Philip J. Feinsilver, Gregory Budzban, and Harry Randolph Hughes. Probability on algebraic and geometric structures: International research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, June 5-7, 2014, Southern Illinois University, Carbondale, Illinois. Edited by Mohammed Salah-Eldin 1946- and Mukherjea Arunava 1941-. American Mathematical Society, 2016.

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Devroye, Luc. Non-Uniform Random Variate Generation. Springer, 2013.

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Devroye, Luc. Non-Uniform Random Variate Generation. Springer London, Limited, 2013.

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Park, Stephen K., and Lawrence M. Leemis. Discrete-Event Simulation: A First Course. Prentice Hall, 2005.

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Park, Stephen K., and Lawrence M. Leemis. Discrete-Event Simulation: A First Course. Prentice Hall, 2005.

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Boudreau, Joseph F., and Eric S. Swanson. Monte Carlo methods. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0007.

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Monte Carlo methods are those designed to obtain numerical answers with the use of random numbers . This chapter discusses random engines, which provide a pseudo-random pattern of bits, and their use in for sampling a variety of nonuniform distributions, for both continuous and discrete variables. A wide selection of uniform and nonuniform variate generators from the C++ standard library are reviewed, and common techniques for generating custom nonuniform variates are discussed. The chapter presents the uses of Monte Carlo to evaluate integrals, particularly multidimensional integrals, and the
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Limit Theorems and Transient Phenomena in the Theory of Branching Processes. VNTL Publishers, 2010.

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Book chapters on the topic "Discrete random variable"

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Gooch, Jan W. "Discrete Random Variable." In Encyclopedic Dictionary of Polymers. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_15220.

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Ewens, Warren J., and Katherine Brumberg. "Probability: One Discrete Random Variable." In Introductory Statistics for Data Analysis. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-28189-1_4.

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Emilion, Richard. "Concepts of a Discrete Random Variable." In Selected Contributions in Data Analysis and Classification. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-73560-1_23.

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Prékopa, András, Béla Vizvári, and Tamás Badics. "Programming Under Probabilistic Constraint with Discrete Random Variable." In New Trends in Mathematical Programming. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4757-2878-1_18.

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Matloff, Norman. "Discrete Random Variables: Variance." In Probability and Statistics for Data Science. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9780429401862-4.

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Gordon, Hugh. "Random Variables." In Discrete Probability. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1966-8_4.

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Junghenn, Hugo D. "Random Variables." In Discrete Mathematics with Coding. Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003351689-21.

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Rose, Colin, and Murray D. Smith. "Discrete Random Variables." In Springer Texts in Statistics. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4612-2072-5_3.

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Ökten, Giray. "Discrete Random Variables." In Probability and Simulation. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56070-6_2.

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Dekking, Frederik Michel, Cornelis Kraaikamp, Hendrik Paul Lopuhaä, and Ludolf Erwin Meester. "Discrete random variables." In A Modern Introduction to Probability and Statistics. Springer London, 2005. http://dx.doi.org/10.1007/1-84628-168-7_4.

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Conference papers on the topic "Discrete random variable"

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Alba-Robles, Emilio, Oscar Daniel Lara-Monta�o, Fernando Israel G�mez-Castro, Jahaziel Alberto S�nchez-G�mez, and Manuel Toledano-Ayala. "Modelling of a Propylene Glycol Production Process With Artificial Neural Networks: Optimization of the Architecture." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.139694.

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Chemical process models often involve high non-linearity due to thermodynamic and kinetic relationships, with non-convex bilinear terms adding complexity to process optimization. Recently, data-driven models, particularly artificial neural networks (ANNs), have gained traction for representing chemical processing units. The predictive accuracy of ANNs depends on data quality, variable interactions, and network architecture, the latter being an optimization challenge itself. This study proposes and evaluates two strategies to optimize ANN architecture for modeling a propylene glycol production
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Dabkowski, John. "A Statistical Approach to Designing Mitigation for Induced AC Voltages." In CORROSION 1996. NACE International, 1996. https://doi.org/10.5006/c1996-96191.

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Abstract Induced voltage levels on buried pipelines collocated with overhead electric power transmission lines are usually mitigated by means of grounding the pipeline. Maximum effectiveness is obtained when grounds are placed at discrete locations along the pipeline where the peak induced voltages occur. The degree of mitigation achieved is dependent upon the local soil resistivity at these locations. On occasion it may be necessary to employ an extensive distributed grounding system, for example, a parallel buried wire connected to the pipe at periodic intervals. In this situation the a prio
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Figueroa–García, Juan Carlos, Carlos Franco та Roman Neruda. "Random variate generation for discrete fuzzy numbers based on α-cuts". У 2024 IEEE 7th International Conference on Big Data and Artificial Intelligence (BDAI). IEEE, 2024. http://dx.doi.org/10.1109/bdai62182.2024.10692377.

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Boukharfane, Radouan, and Nabil El Mo�ayd. "Sensitivity Analysis of Key Parameters in LES-DEM Simulations of Fluidized Bed Systems Using Generalized Polynomial Chaos." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.116388.

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In applications involving fine powders and small particles, the accuracy of numerical simulations, particularly those employing the Discrete Element Method (DEM) to predict granular material behavior, can be significantly affected by uncertainties in critical parameters. These uncertainties include the coefficients of restitution for particle-particle and particle-wall collisions, viscous damping coefficients, and other related factors. In this study, we use stochastic expansions based on point-collocation non-intrusive polynomial chaos to perform a sensitivity analysis of a fluidized bed syst
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Browne, D. R., S. C. Pomeroy, and J. A. Flint. "A Discrete Random Variable for Raindrop Wave Propagation Modelling." In 1st IET Colloquium on Antennas, Wireless and Electromagnetics. Institution of Engineering and Technology, 2013. http://dx.doi.org/10.1049/ic.2013.0099.

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Mohan, Karthika, Felix Thoemmes, and Judea Pearl. "Estimation with Incomplete Data: The Linear Case." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/705.

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Traditional methods for handling incomplete data, including Multiple Imputation and Maximum Likelihood, require that the data be Missing At Random (MAR). In most cases, however, missingness in a variable depends on the underlying value of that variable. In this work, we devise model-based methods to consistently estimate mean, variance and covariance given data that are Missing Not At Random (MNAR). While previous work on MNAR data require variables to be discrete, we extend the analysis to continuous variables drawn from Gaussian distributions. We demonstrate the merits of our techniques by c
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Habibi, S. R., and R. Burton. "The Variable Structure Filter." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-39353.

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This paper presents a new strategy for estimation of state variables. The strategy may be applied to linear systems and is referred to as the Variable Structure Filter. The filter is considered for discrete-time systems subject to random disturbances and measurement noise. A proof of stability for the filter is provided. For stability, this filtering concept requires a specification of an upper bound for the random disturbances and measurement noise. The filter requires a parametric model and can be formulated to accommodate model uncertainties. The application of this filter to a third order
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Shahan, David W., Peter B. Backlund, and Carolyn C. Seepersad. "Classifier-Guided Sampling for Discrete Variable, Discontinuous Design Space Exploration." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13138.

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Estimation of density algorithms (EDAs) have been developed for optimization of discrete, continuous, or mixed discrete and continuous simulation-based design problems. EDAs construct a probability distribution on the set of highest performing designs and sample the distribution for the next generation of solutions. In previous work, the authors have demonstrated how classifier-guided sampling can also be used for discrete variable, discontinuous design space exploration. In this paper we develop the rationale for using classifier-guided sampling as a simple step beyond EDAs that not only impr
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Nan, Jing, Hongwei Ding, Yingying Guo, and Qianlin Liu. "Discrete Random Contention System with Variable Packet Length Based on Binary Tree Conflict Resolution Algorithm." In International Conference on Logistics Engineering, Management and Computer Science (LEMCS 2014). Atlantis Press, 2014. http://dx.doi.org/10.2991/lemcs-14.2014.142.

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Backlund, Peter B., David W. Shahan, and Carolyn C. Seepersad. "A Classifier-Guided Sampling Method for Computationally Expensive, Discrete-Variable, Discontinuous Design Problems." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70353.

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Metamodel-based design is a well-established method for providing fast and accurate approximations of expensive computer models to enable faster optimization and rapid design space exploration. Traditionally, a metamodel is developed by fitting a surface to a set of training points that are generated with an expensive computer model or simulation. A requirement of this process is that the function being approximated is continuous. However, many engineering problems have variables that are discrete and a function response that is discontinuous in nature. In this paper, a classifier-guided sampl
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