Results 71 to 80 of about 527,484 (266)

INSURANCE RISK CLASSIFICATION WITH NEGATIVE BINOMIAL DISTRIBUTION

Statistika, 2014
Risk classification is the process of statistical modeling that classifies risks into cross-classified classes, characterized by the rating factors. In this paper, risk classification is applied to estimate claim frequency rates, expressed in terms of ...
Noriszura Ismail, Abdul Aziz Jemain
doaj  

On approximation of Markov binomial distributions

, 2009
For a Markov chain $\mathbf{X}=\{X_i,i=1,2,...,n\}$ with the state space $\{0,1\}$, the random variable $S:=\sum_{i=1}^nX_i$ is said to follow a Markov binomial distribution.
Xia, Aihua, Zhang, Mei
core   +2 more sources

A generalization of the negative binomial distribution

Journal of Biostatistics and Epidemiology, 2017
Background & Aim: Consider a sequence of independent Bernoulli trials with p denoting the probability of success at each trial. With this definition, the probability that the nth success proceed by r failures follows the negative binomial distribution ...
Maryam Nazemipour, Mahmood Mahmoudi
doaj  

A non-uniform bound on Poisson approximation for a sum of negative binomial random variables [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2017
This paper uses the Stein–Chen method to determine a non-uniform bound on the point metric between the distribution of a sum of independent negative binomial random variables and a Poisson distribution with mean 1 n i i i r q     , where r i
Kanint Teerapabolarn
doaj   +1 more source

Too many zeros and/or highly skewed? A tutorial on modelling health behaviour as count data with Poisson and negative binomial regression

Health Psychology and Behavioral Medicine, 2020
Background Dependent variables in health psychology are often counts, for example, of a behaviour or number of engagements with an intervention. These counts can be very strongly skewed, and/or contain large numbers of zeros as well as extreme outliers ...
James A. Green
semanticscholar   +1 more source

A Bivariate Model based on Compound Negative Binomial Distribution

Revista Colombiana de Estadística
A new bivariate model is introduced by compounding negative binomial and geometric distributions. Distributional properties, including joint, marginal and conditional distributions are discussed.
Maha Omair, Fatimah Almuhayfith, Abdulhamid Alzaid   +2 more
doaj   +1 more source

The zero inflated negative binomial – Crack distribution: some properties and parameter estimation [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2015
The zero inflated negative binomial-Crack (ZINB-CR) distribution is a mixture of Bernoulli distribution and negative binomial-Crack (NB-CR) distribution, which is an alternative distribution for the excessive zero counts and overdispersion.
Pornpop Saengthong, Winai Bodhisuwan, Ampai Thongteeraparp   +2 more
doaj  

A Poisson Mixed Model with Nonnormal Random Effect Distribution

, 2011
We propose in this paper a random intercept Poisson model in which the random effect distribution is assumed to follow a generalized log-gamma (GLG) distribution.
de Castro, Mario, Fabio, Lizandra C., Paula, Gilberto A.   +2 more
core   +1 more source

Linking the Negative Binomial and Logarithmic Series Distributions via their Associated Series Relacionando las distribuciones binomial negativa\ y logarítmica vía sus series asociadas

Revista Colombiana de Estadística, 2008
The negative binomial distribution is associated to the series obtained by taking derivatives of the logarithmic series. Conversely, the logarithmic series distribution is associated to the series found by integrating the series associated to the ...
MAURICIO SADINLE
doaj  

Generalized distributions of order k associated with success runs in Bernoulli trials

International Journal of Mathematics and Mathematical Sciences, 2003
In a sequence of independent Bernoulli trials, by counting multidimensional lattice paths in order to compute the probability of a first-passage event, we derive and study a generalized negative binomial distribution of order k, type I, which extends to ...
Gregory A. Tripsiannis, Afroditi A. Papathanasiou, Andreas N. Philippou   +2 more
doaj   +1 more source