[图书][B] Univariate discrete distributions

NL Johnson, AW Kemp, S Kotz - 2005 - books.google.com
This Set Contains: Continuous Multivariate Distributions, Volume 1, Models and
Applications, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson …

Empirical probability generating function: An overview

M Nakamura, V Pérez-Abreu - Insurance: Mathematics and Economics, 1993 - Elsevier
A convenient approach to the statistical analysis of distributions for counts is possible using
the empirical probability generating function. In this paper we give an overview of recent …

Minimum distance estimators for count data based on the probability generating function with applications

MD Jimenez-Gamero, A Batsidis - Metrika, 2017 - Springer
This paper studies properties of parameter estimators obtained by minimizing a distance
between the empirical probability generating function and the probability generating function …

Parameter estimation for discrete distributions by generalized Hellinger-type divergence based on probability generating function

SZ Sim, SH Ong - Communications in Statistics—Simulation and …, 2010 - Taylor & Francis
This article considers a probability generating function-based divergence statistic for
parameter estimation. The performance and robustness of the proposed statistic in …

[HTML][HTML] Parameter estimation by Hellinger type distance for multivariate distributions based upon probability generating functions

CM Ng, SH Ong, HM Srivastava - Applied Mathematical Modelling, 2013 - Elsevier
Maximum likelihood (ML) estimation is a popular method for parameter estimation when
modeling discrete or count observations but unfortunately it may be sensitive to outliers …

Intrinsic availability assessment of aged gas transmission pipeline using bayesian update and stochastic process modeling

K Younsi, A Smati - Journal of Natural Gas Science and Engineering, 2017 - Elsevier
Gas pipelines are complex and sensitive structures within gas systems. Gas pipeline
networks encompass mainly compression stations and pipelegs. Compressor stations, on …

Fluctuation analysis with cell deaths

B Ycart - arXiv preprint arXiv:1207.4375, 2012 - arxiv.org
The classical Luria-Delbr\" uck model for fluctuation analysis is extended to the case where
cells can either divide or die at the end of their generation time. This leads to a family of …

Parameter estimation for strict arcsine distribution

YC Low, YN Phang, WC Khoo… - … in Statistics-Simulation and …, 2024 - Taylor & Francis
The two-parameter strict arcsine distribution as a member of the natural exponential family
with cubic variance function has been shown to be a viable candidate for statistical analysis …

Probability generating functions for discrete real-valued random variables

ML Esquível - Theory of Probability & Its Applications, 2008 - SIAM
The probability generating function is a powerful technique for studying the law of finite sums
of independent discrete random variables taking integer positive values. For real-valued …

Probability generating function based Jeffrey's divergence for statistical inference

M Sharifdoust, CM Ng, SH Ong - Communications in Statistics …, 2016 - Taylor & Francis
Statistical inference procedures based on transforms such as characteristic function and
probability generating function have been examined by many researchers because they are …