Search Results - probability distribution function of continuous random variable
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Is there an absolutely continuous random variable with equal probability density and cumulative distribution functions in its support? Is it unique? What about in the discrete case?
ISSN: 2307-9045, 2307-9045Published: 02.06.2014Published in International journal of advanced statistics and probability (02.06.2014)Get full text
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Discrete approximations of continuous probability distributions obtained by minimizing Cramér-von Mises-type distances
ISSN: 0932-5026, 1613-9798Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2023Published in Statistical papers (Berlin, Germany) (01.10.2023)“…We consider the problem of approximating a continuous random variable, characterized by a cumulative distribution function (cdf) F ( x…”
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Probability and random processes
ISBN: 1118923138, 9781118923139, 1119011906, 9781119011903Published: New York Wiley 2015“… probability, distribution functions, convergence of random variables, computer generation of random variates…”
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Combined cumulants and Laplace transform method for probabilistic load flow analysis
ISSN: 1751-8687, 1751-8695Published: The Institution of Engineering and Technology 28.09.2017Published in IET generation, transmission & distribution (28.09.2017)“…). The suggested methodology is applicable for every continuous probability distribution function as the input random variable…”
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Development of the Prediction Graph Method Under Incomplete and Inaccurate Expert Estimates
ISSN: 1060-0396, 1573-8337Published: New York Springer US 01.02.2018Published in Cybernetics and systems analysis (01.02.2018)“… The distribution function of the runtime probability is proposed. This function allows constructing the continuous, integral distribution of a random variable on its total domain, based on the aggregate of discrete interval beta distributions…”
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Stochastic comparisons, differential entropy and varentropy for distributions induced by probability density functions
ISSN: 0026-1335, 1435-926XPublished: Heidelberg Springer Nature B.V 01.01.2025Published in Metrika (01.01.2025)“… the ‘pdf-related distributions’. These are defined in terms of transformation of absolutely continuous random variables through their own probability density functions…”
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Estimation of Probability Distribution and Its Application in Bayesian Classification and Maximum Likelihood Regression
ISSN: 1913-2751, 1867-1462, 1867-1462Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019Published in Interdisciplinary sciences : computational life sciences (01.09.2019)“…Nonparametric estimation of cumulative distribution function and probability density function of continuous random variables is a basic and central problem in probability theory and statistics…”
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Quantile-based information generating functions and their properties and uses
ISSN: 0269-9648, 1469-8951Published: Cambridge Cambridge University Press 01.10.2024Published in Probability in the engineering and informational sciences (01.10.2024)“… The IGF of an absolutely continuous random variable (see Golomb, S. (1966). The information generating function of a probability distribution…”
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The damped pendulum random differential equation: A comprehensive stochastic analysis via the computation of the probability density function
ISSN: 0378-4371, 1873-2119Published: Elsevier B.V 15.12.2018Published in Physica A (15.12.2018)“… We establish mild conditions under which X(t) is an absolutely continuous random variable, for each t, and we find its probability density function fX(t)(x…”
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An adaptive algorithm for clustering cumulative probability distribution functions using the Kolmogorov–Smirnov two-sample test
ISSN: 0957-4174, 1873-6793Published: Elsevier Ltd 15.05.2015Published in Expert systems with applications (15.05.2015)“… This paper proposes an adaptive algorithm for clustering cumulative probability distribution functions (c.p.d.f…”
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Test of bivariate independence based on angular probability integral transform with emphasis on circular-circular and circular-linear data
ISSN: 2300-2298, 2300-2298Published: De Gruyter 20.10.2023Published in Dependence modeling (20.10.2023)“…The probability integral transform of a continuous random variable with distribution function is a uniformly distributed random variable…”
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EXCEL-oriented procedures for determining the entropy of a distribution function and its relative parametric sensitivity (elasticity) under the conditions of two-sided restrictions on the range of values of a continuous random variable
ISSN: 2522-9052Published: 20.09.2023Published in Сучасні інформаційні системи (20.09.2023)“…The goal of the work. Development of an EXCEL-oriented calculator for calculating entropy and its elasticity for distribution functions under the condition of a limited domain of definition of a continuous random variable. Subject of study…”
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Application of Ujlayan-Dixit Fractional Chi-Square Probability Distribution
ISSN: 2311-004X, 2310-5070Published: 20.06.2025Published in Statistics, optimization & information computing (20.06.2025)“…In this study, we take into account the Ujlayan-Dixit (UD) fractional derivative in order to introduce the fractional probability density function for the Chi-Square distribution (CSD…”
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A Generalized Survival Function Method for the Expectation of Functions of Nonnegative Random Variables
ISSN: 0196-6324, 2325-8454Published: Taylor & Francis 02.10.2021Published in American journal of mathematical and management sciences (02.10.2021)“…The survival function method is a well-known alternative procedure for calculating the expectation of a nonnegative random variable with a continuous probability distribution…”
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Applications of Ujlayan and Dixit Fractional Uniform Probability Distribution
ISSN: 2832-4293, 2832-4293Published: Mathyze Publishers 03.02.2025Published in Pan-American journal of mathematics (03.02.2025)“…In this work, we consider the Ujlayan-Dixit (UD) fractional derivative and integral to present the fractional probability density function for the Continuous Uniform Distribution (CUD…”
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Deconvolution of cumulative distribution function of continuous component from a mixture distribution
ISSN: 0233-1888, 1029-4910Published: 15.09.2025Published in Statistics (Berlin, DDR) (15.09.2025)Get full text
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Generalized skew-Cauchy distribution
ISSN: 0167-7152, 1879-2103Published: Amsterdam Elsevier B.V 15.06.2007Published in Statistics & probability letters (15.06.2007)“…In this work we investigate the generalized skew-symmetric distributions. Suppose Y is an absolutely continuous random variable symmetric about 0 with probability density function f and cumulative distribution function F…”
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Data-driven individual and joint chance-constrained optimization via kernel smoothing
ISSN: 0098-1354, 1873-4375Published: Elsevier Ltd 12.07.2015Published in Computers & chemical engineering (12.07.2015)“… The approach consists of using kernel smoothing to approximate unknown true continuous probability density/distribution functions…”
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On the distribution-free confidence intervals and universal bounds for quantiles based on joint records
ISSN: 0361-0926, 1532-415XPublished: Philadelphia Taylor & Francis Ltd 18.06.2018Published in Communications in statistics. Theory and methods (18.06.2018)“…In this paper, we consider three distribution-free confidence intervals for quantiles given joint records from two independent sequences of continuous random variables with a common continuous distribution function…”
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Characterizations of Some Probability Distributions with Completely Monotonic Density Functions
ISSN: 1816-2711, 2220-5810Published: Lahore University of the Punjab, College of Statistical & Actuarial Science 02.03.2021Published in Pakistan journal of statistics and operation research (02.03.2021)“…For a non-negative continuous random variable , Chaudhry and Zubair (2002, p. 19) introduced a probability distribution with a completely monotonic probability…”
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