Results 11 to 20 of about 60,299 (259)
On the Distribution of a Quadratic Form in Normal Variates
It is a well-known theorem in linear models that the idempotency of a matrix is a sufficient and necessary condition for a quadratic form in normal variates to have a chisquare distribution, but its proofs in the early literature were incorrect or ...
Jin Zhang
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Generalized Order Statistics from Marshall–Olkin Extended Exponential Distribution
A.W. Marshall, I. Olkin, Biometrika. 84 (1997), 641–652, introduced an interesting method of adding a new parameter to an existing distribution. The resulting new distribution is called as Marshall–Olkin extended distribution.
Haseeb Athar, Nayabuddin, Saima Zarrin
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A bimatrix variate gamma distribution
In this article, a bimatrix gamma distributions is introduced. Various mathematical properties of the proposed distribution like marginal distributions, expected values, entropies, and moment generating function are derived.
Maryam Rafiei +4 more
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Recurrence Relations Between Moment Generating Function of Order Statistics for Doubly Truncated Continuous Distributions [PDF]
We derive some results for obtaining recurrence relations between moment generating functions of order statistics and recurrence relations between moment generating functions of the sum of two order statistics.
Mohie-El Din M. +2 more
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Jackknife Bias Reduction in the Presence of a Near-Unit Root
This paper considers the specification and performance of jackknife estimators of the autoregressive coefficient in a model with a near-unit root.
Marcus J. Chambers, Maria Kyriacou
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Moment generating functions of record values from a class of doubly truncated distributions
In this paper, we consider a class of doubly truncated distributions. Based on this class, recurrence relation for moment generating functions of record values is derived.
Abd EL-Baset A. Ahmad +2 more
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Note on the moment generating function of the multivariate normal distribution
We present a streamlined proof of a formula for the derivatives of the moment generating function of the multivariate normal distribution. We formulate it in terms of the summation of the contractions by pairings, which encodes a combinatorial ...
Kenichi Hirose
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In this work, we propose and study a new family of discrete distributions. Many useful mathematical properties, such as ordinary moments, moment generating function, cumulant generating function, probability generating function, central moment, and ...
Mohamed Aboraya +3 more
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The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review
ABSTRACT Current literature estimates that 10% of pediatric cancers are caused by pathogenic or likely pathogenic (P/LP) germline variants in cancer predisposition genes (CPGs). Variants in CPGs thought to increase cancer risk exclusively during adulthood are referred to as “adult‐onset” CPGs (aoCPGs).
Maria Rozo +5 more
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A characterization of the normal distribution [PDF]
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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