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Bayesian Inference for Negative Binomial—Beta Exponential Distribution and Its Regression Model
AbstractThis article provided the particular properties of the negative binomial—beta exponential (NB-BE) distribution and extended to its regression...
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Negative Binomial–Lindley Cure Rate Model
AbstractThis paper propose a new cure rate survival model named the negative binomial–Lindley cure rate model by assuming that the number of...
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Binomial Model for Option Pricing
In the following, we consider a market model where a non-risky asset (called bond)Bond and a risky asset (called stock)Stock are available. The bond...
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Lattice Paths and Negatively Indexed Weight-Dependent Binomial Coefficients
In 1992, Loeb (Adv Math, 91:64–74, 1992) considered a natural extension of the binomial coefficients to negative entries and gave a combinatorial...
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Right-Sided Invertibility of Binomial Functional Operators and Graded Dichotomy
In this paper, we consider the right-sided invertibility problem for binomial functional operators. It is known that such operators are invertible...
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The Negative Binomial-Generalized Lindley Distribution for Overdispersed Data
AbstractIn this paper, a new count distribution for overdispersed data is introduced. The distribution is a mixture of the negative binomial and...
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Zero-inflated non-central negative binomial distribution
In this article, the zero-inflated non-central negative binomial (ZINNB) distribution is introduced. Some of its basic properties are obtained. In...
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Zero-Truncated Negative Binomial Weighted-Lindley Distribution and Its Application
AbstractIn this article, a zero-truncated version of the negative binomial-weighted Lindley distribution is developed, it can be used when the...
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Binomial distribution
It’s common in scientific studies for the outcome observed for each participant to have a yes/no format. Often, the aim of the study is to link these...
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Exact posterior computation for the binomial–Kumaraswamy model
In Bayesian analysis, the well-known beta–binomial model is largely used as a conjugate structure, and the beta prior distribution is a natural...
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Statistical Inference for the Covariates-driven Binomial AR(1) Process
The binomial autoregressive (BAR(1)) process is very useful to model the integer-valued time series data defined on a finite range. It is commonly...
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Numerical Method (2): Binomial and Trinomial Trees
As a lattice approach, tree methods, pioneered by Cox, Ross, and Rubinstein in 1979 (Cox et al., J. Financ. Econ. 7(3):229–263, 1979), employ a...
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A New Mixed Negative Binomial Kumaraswamy–Lindley Distribution and Its Application
AbstractIn this paper, a new discrete distribution have been proposed, which is the mixed distribution between the negative binomial (NB)...
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Zero Truncated Negative Binomial Weighted Weibull Distribution and Its Application
AbstractIn this article, we propose two new discrete distributions, the negative binomial-weighted Weibull and the zero truncated negative...
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Systems with Events Generated by Poisson or by Binomial Processes
This chapter is mainly devoted to systems where all events are generated by Poisson processes. Hence, arrivals are Poisson, and so are moves from one...
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Necessary and sufficient conditions for exact closures of epidemic equations on configuration model networks
We prove that it is possible to obtain the exact closure of SIR pairwise epidemic equations on a configuration model network if and only if the...
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The Zero-inflated Negative Binomial-Exponential Distribution and Its Application
AbstractA new distribution, the zero-inflated negative binomial-exponential (ZINB-E) distribution, is proposed. It is a mixture of a point mass at...
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Probabilistic model for cracking localization in reinforced fibrous concrete beams
This paper proposes a probabilistic model that explains the phenomenon of cracking localization (CL) in RC beams with addition of steel fibers....
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A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling
Motivated by modelling epidemics like COVID-19, this paper proposes a generalized chain binomial process which integrates two types of infectives,...
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The Positive Negative Binomial-Lindley Distribution and Its Applications
AbstractIn this paper, the positive negative binomial-Lindley distribution is used to model count data for which the value zero cannot occur, which...
