Markov binomial distribution of order k and its applications
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DOI: 10.1007/s00362-015-0728-5
Abstract: In this paper, we study the distribution of $$X_{n,k}^c $$Xn,kc, the number of occurrences of success runs of length k in the sequence of n Markov Binary Trials arranged on circle under four popular schemes… read more here.
Keywords: order; order applications; binomial distribution; markov binomial ... See more keywords
Exact test of goodness of fit for binomial distribution
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DOI: 10.1007/s00362-016-0793-4
Abstract: In this paper, we consider an exact test of goodness of fit for binomial distribution in sparse data situation. A conventional way is viewing this problem as an independence test problem of a two-way contingency… read more here.
Keywords: goodness fit; binomial distribution; test goodness; test ... See more keywords
The two-sided power-binomial distribution for modeling binary count data
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2018.1472778
Abstract: Abstract The two-sided power (TSP) distribution is a flexible two-parameter distribution having uniform, power function and triangular as sub-distributions, and it is a reasonable alternative to beta distribution in some cases. In this work, we… read more here.
Keywords: power binomial; two sided; binomial distribution; power ... See more keywords
The non-central negative binomial distribution: Further properties and applications
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DOI: 10.1080/03610926.2019.1634817
Abstract: Abstract The non-central negative binomial distribution is both a mixed and compound Poisson distribution with applications in photon and neural counting, statistical optics, astronomy and a stochastic reversible counter system. In this paper various important… read more here.
Keywords: binomial distribution; negative binomial; non central; distribution properties ... See more keywords
Applying Negative Binomial Distribution in Diagnostic Classification Models for Analyzing Count Data
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DOI: 10.1177/01466216221124604
Abstract: Diagnostic classification models (DCMs) have been used to classify examinees into groups based on their possession status of a set of latent traits. In addition to traditional item-based scoring approaches, examinees may be scored based… read more here.
Keywords: classification models; binomial distribution; negative binomial; count ... See more keywords
Fréchet Binomial Distribution: Statistical Properties, Acceptance Sampling Plan, Statistical Inference and Applications to Lifetime Data
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DOI: 10.3390/axioms11080389
Abstract: A new class of distribution called the Fréchet binomial (FB) distribution is proposed. The new suggested model is very flexible because its probability density function can be unimodal, decreasing and skewed to the right. Furthermore,… read more here.
Keywords: acceptance sampling; function; binomial distribution; distribution statistical ... See more keywords