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Applying the Moment Generating Functions to the Study of Probability Distributions [PDF]
Informatică economică, 2007 In this paper, we describe a tool to aid in proving theorems about random variables, called the moment generating function, which converts problems about probabilities and expectations into problems from calculus about function values and derivates.
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Estimation Methods of Theree Parameters Discrete Generalized Exponential [PDF]
Pakistan Journal of Commerce and Social Sciences, 2010 This article presents the estimation methods of three parameters Discrete Generalized Exponential distribution. The two-parameter generalized exponential distribution was introduced by Gupta and Kundu (1999).
M. Shuaib Khan, M. Aleem, Akbar Ali Shah
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Revista Colombiana de Estadística, 2010 We propose a statistic to evaluate the goodness-of-fit where we used the empirical moment generating function and the moment generating function, from the considered information it found that the Gn statistic was different behavior according to the used ...
Muñoz Luis Alfonso +1 more
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Ordering Residual Lives Using the Moment Generating Transform [PDF]
The Egyptian Statistical Journal, 2003 This paper presents new notions of stochastic comparisons and ageing classes based on the moment generating function order. The relationships to other stochastic orders and ageing classes are given.
S. El-Arishy
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A characterization of the normal distribution [PDF]
Journal of Statistical Theory and Applications (JSTA), 2014 It is shown that the normal distribution with mean zero is characterized by the property that the product of its characteristic function and moment generating function is equal to 1.
Hans Volkmer
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The discrete weighted exponential distribution and its applications [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 We propose a new discrete distribution namely the discrete weighted exponential (dWE) distribution. It is discretization of weighted exponential distribution.
Panpharisa Khongthip +2 more
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Factorial moment -generating function and the Pascal distribution
, 2004 Given a distribution, the cumulants or factorial moments can be used to obtain the skewness and kurtosis which in turn are used to determine the normal approximation of the given distribution.
M. E. Nja +3 more
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A probablistic proof of the series representation of the MacDonald function with applications
International Journal of Mathematics and Mathematical Sciences, 1998 A series representation of the Macdonald function is obtained using the properties of a probability density function and its moment generating function. Some applications of the result are discussed and an open problem is posed.
M. Aslam Chaudhry, Munir Ahmad
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Recurrence Relations for Moment Generating Function of Progressive First Failure Censoring and Characterizations of Right Truncated Exponential Distribution [PDF]
ERU Research JournalIn this paper, we establish several recurrence relations satisfiedby the single and product moment generating function of progressive first failure censoring from an right truncated exponential distribution. These relations may then be used, for example,
Ali Sharawy
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On numerical inversion of the moment generating function [PDF]
, 1997 The main purpose of this thesis is to apply an algorithm for the numerical inversion of the Laplace transform that recovers the probability density function (PDF) of a sum of nonnegative continuous random variables.
Tsang, Andy M
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