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On Classical and Bayesian Reliability of Systems Using Bivariate Generalized Geometric Distribution
The study of system safety and reliability has always been vital for the quality and manufacturing engineers of varying fields for which generally...
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Construction of an Alternative Bivariate Distribution with Discrete Modified Weibull as Marginals
An alternative version of bivariate discrete Weibull distribution with marginal densities as discrete modified Weibull distribution is constructed....
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Bivariate Semi-Parametric Model: Bayesian Inference
The motivation of this paper came from two bivariate diabetic retinopathy data sets. The main aim is to test whether the laser treatment delays the...
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Quantile Based Geometric Vitality Function of Order Statistics
AbstractIn [
1 ], the authors introduced the geometric vitality function that explains the failure pattern of components or systems based on the...
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Bivariate densities in Bayes spaces: orthogonal decomposition and spline representation
A new orthogonal decomposition for bivariate probability densities embedded in Bayes Hilbert spaces is derived. It allows representing a density into...
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Geometric Mean Type of Proportional Reduction in Variation Measure for Two-Way Contingency Tables
Traditional analysis of two-way contingency tables with explanatory and response variables focuses on the independence of two variables. However, if...
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On bivariate threshold Poisson integer-valued autoregressive processes
To capture the bivariate count time series showing piecewise phenomena, we introduce a first-order bivariate threshold Poisson integer-valued...
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Bayesian Estimation for Bivariate Gamma Processes with Copula
Gamma stochastic process has been proposed to replace Brownian motion and geometric Brownian motion to characterize the degradation measurements from...
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Sampling Distribution of Correlation
This chapter discusses the sampling distribution of correlation coefficients. The sampling distribution of covariance under normality is discussed...
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A New Regression Model for Over-Dispersed Count Responses Based on Poisson and Geometric Convolution
This article presents an alternative generalized linear regression model specifically designed for count responses that exhibit over-dispersion. The...
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Multiple values-inflated bivariate INAR time series of counts: featuring zero–one inflated Poisson-Lindly case
This study considers multiple values-inflated bivariate integer-valued autoregressive (MV-inflated BINAR) models. It develops the inferential...
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Univariate and Bivariate Compound Models Based on Random Sum of Variates with Application to the Insurance Losses Data
In this article, we propose a new three-parameter model called compound zero-truncated Poisson gamma model. The corresponding variate of this model...
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Generalized Cramér’s coefficient via f-divergence for contingency tables
Various measures in two-way contingency table analysis have been proposed to express the strength of association between row and column variables in...
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Multivariate mixed Poisson Generalized Inverse Gaussian INAR(1) regression
In this paper, we present a novel family of multivariate mixed Poisson-Generalized Inverse Gaussian INAR(1), MMPGIG-INAR(1), regression models for...
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Copulas
In today’s data-driven world, the analysis of multiple variables and their joint behavior has become increasingly important. Copulas offer a...
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Generalized Reduced-Rank Regression
Our discussion on reduced-rank models thus far is mainly focused on classical multivariate linear regression setup. This chapter further generalizes...
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Weighted Type II Bivariate Pólya-Aeppli Distributions
In this chapter we extend the existing theory of the Type II bivariate Pólya-Aeppli distribution, a compound Poisson distribution with a bivariate...
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Probability Models and Distribution Functions
The chapter provides the basics of probability theory and theory of distribution functions. The probability model for random sampling is discussed....
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The Pareto–Poisson Distribution: Characteristics, Estimations and Engineering Applications
A new three-parameter lifetime distribution based on compounding Pareto and Poisson distributions is introduced and discussed. Various statistical...
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Univariate and bivariate geometric discrete generalized exponential distributions
In 1997, Marshall and Olkin introduced a very powerful method to introduce an additional parameter to a class of continuous distribution functions...