Results 21 to 30 of about 60,178 (261)

Moments of a Thue–Morse generating function [PDF]

Journal d'Analyse Mathématique, 2018
We study the moments of even order of the generating function of the Thue-Morse sequence and present several conjectures related to these moments.
Montgomery, Hugh, Mauduit, Christian, Rivat, Joel   +2 more
openaire   +3 more sources

On the Distribution of a Quadratic Form in Normal Variates

Revstat 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

Estimating functions and the generalized method of moments [PDF]

Interface Focus, 2011
Estimating functions provide a very general framework for statistical inference, and are particularly useful when one is either unable or unwilling to specify a likelihood function. This paper aims to provide an accessible review of estimating function theory that has potential for application to the analysis and modelling of a wide range of complex ...
Joao, Jesus, Richard E, Chandler
openaire   +2 more sources

Generalized Order Statistics from Marshall–Olkin Extended Exponential Distribution

Journal 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 note on generating functions for Hausdorff moment sequences [PDF]

Proceedings of the American Mathematical Society, 2008
For functions f f whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of
Roth, Oliver, Ruscheweyh, Stephan, Salinas, Luis   +2 more
openaire   +4 more sources

A bimatrix variate gamma distribution

Results 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, Daya K. Nagar, Anis Iranmanesh, Saralees Nadarajah, Shou Shih   +4 more
doaj   +1 more source

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

The 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., Mahmoud M. A. W., Abu-Youssef S. E.   +2 more
doaj   +1 more source

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

Econometrics, 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

Journal 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, Mohamad A. Fawzy, Yousef F. Alharbi   +2 more
doaj   +1 more source

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

Mathematics, 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, Haitham M. Yousof, G.G. Hamedani, Mohamed Ibrahim   +3 more
doaj   +1 more source