Results 11 to 20 of about 60,299 (259)

On the Distribution of a Quadratic Form in Normal Variates

open access: yesRevstat Statistical Journal, 2018
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
doaj   +1 more source

Generalized Order Statistics from Marshall–Olkin Extended Exponential Distribution

open access: yesJournal of Statistical Theory and Applications (JSTA), 2019
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
doaj   +1 more source

A bimatrix variate gamma distribution

open access: yesResults in Applied Mathematics, 2022
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
doaj   +1 more source

Recurrence Relations Between Moment Generating Function of Order Statistics for Doubly Truncated Continuous Distributions [PDF]

open access: yesThe Egyptian Statistical Journal, 1992
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
doaj   +1 more source

Jackknife Bias Reduction in the Presence of a Near-Unit Root

open access: yesEconometrics, 2018
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
doaj   +1 more source

Moment generating functions of record values from a class of doubly truncated distributions

open access: yesJournal of Taibah University for Science, 2020
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
doaj   +1 more source

Note on the moment generating function of the multivariate normal distribution

open access: yesMiskolc Mathematical Notes
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
doaj   +1 more source

A New Family of Discrete Distributions with Mathematical Properties, Characterizations, Bayesian and Non-Bayesian Estimation Methods

open access: yesMathematics, 2020
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
doaj   +1 more source

The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review

open access: yesPediatric Blood &Cancer, EarlyView.
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
wiley   +1 more source

A characterization of the normal distribution [PDF]

open access: yesJournal 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
doaj   +1 more source

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