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A new bivariate beta distribution
Statistics, 2016ABSTRACTA new bivariate beta distribution capable of providing better fits than all its competitors is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and conditional moments.
Nadarajah, Saralees +2 more
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Applying Beta Distribution in Analyzing Bounded Outcome Score Data
AAPS Journal, 2020Disease status is often measured with bounded outcome scores (BOS) which report a discrete set of values on a finite range. The distribution of such data is often non-standard, such as J- or U-shaped, for which standard analysis methods assuming normal ...
Chuanpu Hu +2 more
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Generalized Beta-Generated Distributions [PDF]
SSRN Electronic Journal, 2010 This article introduces generalized beta-generated (GBG) distributions. Sub-models include all classical beta-generated, Kumaraswamy-generated and exponentiated distributions. They are maximum entropy distributions under three intuitive conditions, which show that the classical beta generator skewness parameters only control tail entropy and an ...
Carol Alexander +4 more
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Bulletin of the Brazilian Mathematical Society, New Series, 2006 Four new generalizations of the standard beta distribution are introduced. Various properties are derived for each distribution, including its hazard rate function and moments.
Samuel Kotz, Saralees Nadarajah
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Statistics & Probability Letters, 2011
The Laplace distribution is one of the earliest distributions in probability theory. For the first time, based on this distribution, we propose the so-called beta Laplace distribution, which extends the Laplace distribution. Various structural properties of the new distribution are derived, including expansions for its moments, moment generating ...
Gauss M. Cordeiro, Artur J. Lemonte
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The Laplace distribution is one of the earliest distributions in probability theory. For the first time, based on this distribution, we propose the so-called beta Laplace distribution, which extends the Laplace distribution. Various structural properties of the new distribution are derived, including expansions for its moments, moment generating ...
Gauss M. Cordeiro, Artur J. Lemonte
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Statistics, 2008
In this paper, a four-parameter beta-Pareto distribution is defined and studied. Various properties of the distribution are discussed. The distribution is found to be unimodal and has either a unimodal or a decreasing hazard rate. The expressions for the mean, mean deviation, variance, skewness, kurtosis and entropies are obtained.
Felix Famoye, Carl Lee, Alfred Akinsete
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In this paper, a four-parameter beta-Pareto distribution is defined and studied. Various properties of the distribution are discussed. The distribution is found to be unimodal and has either a unimodal or a decreasing hazard rate. The expressions for the mean, mean deviation, variance, skewness, kurtosis and entropies are obtained.
Felix Famoye, Carl Lee, Alfred Akinsete
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IS THE DISTRIBUTION OF BETAS STATIONARY?
Journal of Financial Research, 1990AbstractThe stationarity of the beta distribution for 1926–1985 is rejected for the entire period as a single sample. However, results for pairs of five‐year estimation periods are more consistent with stationarity. Over all possible pairs of five‐year periods, stationarity in the pair‐wise tests is rejected more often than expected merely by chance ...
Ricardo J. Rodriguez, Robert Kolb
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The beta exponential distribution
Reliability Engineering & System Safety, 2006Abstract The exponential distribution is perhaps the most widely applied statistical distribution for problems in reliability. In this note, we introduce a generalization—referred to as the beta exponential distribution—generated from the logit of a beta random variable.
Samuel Kotz, Saralees Nadarajah
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Characterizations of the Beta Distribution
Communications in Statistics - Theory and Methods, 2004The beta distribution has a received considerable amount of attention in the statistical literature, mainly because of its applications in many fields. The purpose of this article is to review the characterizations of this distribution. The characterizations are based on the closure property under products, geometric and trigonometric relationships ...
Arjun K. Gupta, Saralees Nadarajah
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