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The Normal-Normal (NN) Distribution
The normal-normal (NN) distributionNormalnormal-normal (NN) distributions is not a subfamily of the pseudo-normal (PN), but an approximation to a...
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Bivariate Normal Distribution
THE BIVARIATE NORMAL DISTRIBUTION helpsBivariate normal distribution us make the important leap from the univariate normal to the more general...
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A New Flexible Alpha Skew Normal Distribution
In this paper, a new family of continuous probability distributions has been considered, which is the skewed version of the flexible alpha normal...
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The Univariate Normal Distribution
THE NORMAL DISTRIBUTION is central to much of statistics. In this chapter and the two following, we develop the normal model from the univariate,...
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Multivariate Normal Distribution
IN THIS CHAPTER, we generalize the bivariate normal distribution from the previous chapter to an arbitrary number of dimensions. We also make use of...
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A multivariate modified skew-normal distribution
We introduce a multivariate version of the modified skew-normal distribution, which contains the multivariate normal distribution as a special case....
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The Kurtic-Normal (KN) Distribution
The kurtic-normal (KN) distributionKurtickurtic-normal (KN) distribution is a subfamily of the pseudo normal (PN), where “kurtic” is a coined word...
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Normal Distribution Assumption-Free Nonparametric Inference
Methods of inference not requiring normality of the outcome distribution are discussed.
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Bayesian Wavelet Stein’s Unbiased Risk Estimation of Multivariate Normal Distribution Under Reflected Normal Loss
In this paper, we consider the generalized Bayes estimator of mean vector parameter for multivariate normal distribution with unknown mean vector and...
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Exact distribution of change-point MLE for a Multivariate normal sequence
This paper presents the derivation of an expression for computing the exact distribution of the change-point maximum likelihood estimate (MLE) in the...
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The Sectionally Truncated Normal Distribution
Sectional truncationSectional truncation introducedTruncationsectional by OgasawaraOgasawara (J Multivar Anal [32]) is the multivariate version...
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Variance-mean mixture of multivariate normal distribution and weighted gamma distribution: properties and applications
In this paper, we propose a weighted extension of the family of multivariate Generalized Asymmetric Laplace (GAL) distributions. This extension is...
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Normal-Power-Logistic Distribution: Properties and Application in Generalized Linear Model
The applications of Normal distribution in literature are verse, the new modified univariate normal power distribution is a new distribution which is...
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Generalized Bayes Minimax Estimators of the Variance of a Multivariate Normal Distribution
The problem of estimating the variance of a multivariate normal distribution is considered under quadratic loss. A large class of generalized Bayes...
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The Pseudo-Normal (PN) Distribution
The pseudo-normal (PN) family of distributionsPseudo-normal (PN) distributionfamily of distributions was given by OgasawaraOgasawara (J Multivar Anal...
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Normal Distribution and Other Test Distributions
We now know what a hypothesis is and that we use them to answer research questions or test statements. However, we do not yet know how testing works....
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Inference for a constant-stress model under progressive type-II censored data from the truncated normal distribution
In this study, constant-stress accelerated life testing has been investigated using type-II censoring of failure data from a truncated normal...
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Statistical Inference Based on Kernel Distribution Function Estimators
This book presents a study of statistical inferences based on the kernel-type estimators of distribution functions. The inferences involve matters...
