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Showing 1 to 20 of 63 for “"binomial distribution"”.
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The negative binomial distribution
… the major literature dealing with the negative binomial distribution. An account of the forms of the distribution is presented. This includes compound, limiting and truncated forms and examples of their occurrence. Parameter estimation is treated in a few specific cases. In particular, the …
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New Multivariate Zero-Inflated Beta-Binomial Distribution
The multivariate zero-inflated beta-binomial model is significantly important for modelling and analyzing multivariate proportional data with extra zeros. Comparing with the binomial model, the beta-binomial model is a better alternative for explicitly accounting for over-dispersion, and …
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A Two-Parameter Lindley-Binomial Distribution: Properties and Applications
The binomial distribution is a common and well known distribution that many situations and applications of binomial distribution can be found. In the real life anything that can be thought of a success or a failure can be considered as a Binomial distribution. However, this kind of instances does …
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Number-theoretic properties of the binomial distribution with applications in arithmetic geometry
Alina Bucur et al. showed that the distribution of the number of points on a smooth projective plane curve of degree d over a finite field of order q is approximated by a particular binomial distribution. We generalize their arguments to obtain a similar theorem concerning hypersurfaces in …
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Properties of two modified moment estimators for parameters of the negative binomial distribution
… moment estimators for parameters of the negative binomial distribution (NBD). Several parametric forms have been suggested for the NBD. The estimation problems vary according to the form which is used. In particular, the form proposed by Anscombe [Biometrika, 37 (1950), pp. 358-382), with …
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Orthogonal statistics involving the third and fourth sample moments for negative binomial distribution
… for estimators of parameters of the negative binomial distribution.
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Performance of Bootstrap Confidence Region For Binomial Distribution With Unknown Parameters p and m
… of the bootstrap confidence region of a binomial distribution with unknown parameters. The research is designed as follow: The first step is to estimate unknown parameters m and p from binomial distribution. In my case, I focus on method of moment to estimate. Since these estimators do …
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Moment estimators involving the second and third sample moments for the negative binomial distribution
… an estimator, a parameter of the negative binomial distribution, for which we can show that such properties as bias and variance of this estimator are "better" than corresponding properties of the simple moment estimator, the latter being the estimator which is used most often in practice. …
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Orthogonal statistics and some sampling properties of moment estimators for the negative binomial distribution
… moment estimators of parameters of the negative binomial distribution. The general technique of orthogonal statistics which is based on the existence of an infinite set {q<sub>r</sub>(x)} of orthogonal polynomials associated with a particular distribution, enables one to obtain expansions of …
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Objective Bayesian analysis of the 2 x 2 contingency table and the negative binomial distribution
… Bayesian approach seeks to select a prior distribution not by using (often subjective) scientific belief or by mathematical convenience, but rather by deriving it under a pre-specified criteria. This approach takes the decision of prior selection out of the hands of the researcher. Ideally, …
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Computational Aspects of An Asymptotic Analysis of Method of Moments Estimators of Parameters For the Binomial Distribution
… region of the known parameters p and m of the Binomial distribution and analyze them using descriptive statistics. This research first introduces the method of moments estimators of these parameters, p ̂_n and m ̂_n. Because p ̂_n and m ̂_n do not have mean values and variances, new, modified …
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An ecological adjusted random effect model for violent and property crime in Windhoek (2011-2016)
… are often analysed using Zero-Inflated Negative Binomial Generalized Linear Mixed Model (ZTNB-GLMM) when observations are correlated in ways that require random effects. The present study investigates ecological factors influencing Violent and Property crime in Windhoek by using data obtained …
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ΜΕΓΙΣΤΟ ΜΗΚΟΣ ΡΟΗΣ ΕΠΙΤΥΧΙΩΝ ΚΑΙ ΠΟΛΥΩΝΥΜΑ ΤΥΠΟΥ-FIBONACCI
… OF ORDER K. WE INTRODUCE AND STUDY A NEW DISTRIBUTION, THE BINOMIAL DISTRIBUTION OF ORDER K AND DERIVE THE EXACT DISTRIBUTION OF IT. APPLICATIONS OF THE RANDOM VARIABLES WHICH WE STUDY ARE GIVEN IN RELIABILITY OF CONSECUTIVE-K-OUT-OF-N F SYSTEMS.WE ALSO GIVE THE RELIABILITY OF A …
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ΠΟΛΥΔΙΑΣΤΑΤΕΣ ΚΑΤΑΝΟΜΕΣ Κ-ΤΑΞΗΣ
WE DERIVE A MULTIVARIATE NEGATIVE BINOMIAL DISTRIBUTION OF ORDER K BY MEANS OF AN URN SCHEME AND WE OBTAIN TWO LIMITING CASES OF IT WHICH PROVIDE A MULTIVARIATE POISSON DISTRIBUTION OF ORDER K AND A MULTIVARIATE LOGARITHMIC SERIES DISTRIBUTION OF THE SAME ORDER. WE DEFINE THE GENERALIZED SEQUENCE …
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The Impact of Two-Rate Taxes on Construction in Pennsylvania
… a conventional analysis based on a continuous distribution leads to incorrect results; a discrete maximum likelihood analysis with a negative binomial distribution is more appropriate. Two models, a non-linear and a fixed effects model, are developed to examine the influence of the tax …
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Temporal and spatial variability in 'Tetracotyle' type and metacercariae infection in the South African sardine, Sardinops sagax
… stock, season, year and caudal length, where a binomial distribution was assumed for prevalence and a negative binomial distribution was assumed for infection intensity and parasite abundance. All factors contributed significantly to all models, but it was found that stock was the most …
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A Monte Carlo case study of random inputs in the stochastic model for pollution in estuaries
… situations and examined the resulting average distributions of both the biochemical . oxygen demand and the oxygen deficit. For two types of input, the number of input particles ranged from zero to ten and was chosen randomly from a binomial distribution and a uniform distribution. Another type …
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Characterization and nonlinear cleanup of noise in optical communication systems
… are described by a degenerate Bose-Einstein distribution, while the ONEs are described by a non-central-negative-binomial distribution. We will compare the exact quantum mechanical approach with the semiclassical Gaussian approximation in terms of evaluating the bit-error rate and the optimal …
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Investigation of HPV16-related genomic alterations in cervical squamous cell carcinoma
… and RNA composition between samples. A negative binomial distribution model was fitted to the normalized count data for each gene. Statistically significant genes were filtered to an adjusted p-value <= 0.05 and log2 fold change >= 2 yielding upregulated and downregulated genes. Pathway analysis …
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