Process Capability and Performance Indices for Discrete Data
Process capability and performance indices (PCIs and PPIs) are used in industry to provide numerical measures for the capability and performance of several processes. The majority of the literature refers to PCIs and PPIs for continuous data.
Vasileios Alevizakos
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Computation of the Distribution of the Sum of Independent Negative Binomial Random Variables
The distribution of the sum of negative binomial random variables has a special role in insurance mathematics, actuarial sciences, and ecology. Two methods to estimate this distribution have been published: a finite-sum exact expression and a series ...
Marc Girondot, Jon Barry
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A note on negative λ-binomial distribution
In this paper, we introduce one discrete random variable, namely the negative λ-binomial random variable. We deduce the expectation of the negative λ-binomial random variable.
Yuankui Ma, Taekyun Kim
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A New Neutrosophic Negative Binomial Distribution: Properties and Applications
Many problems in real life exist that are full of confusion, vagueness, and ambiguity. The quantification of such issues in a scientific way is the need of time.
Rehan Ahmad Khan Sherwani +4 more
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On the Accuracy of the Generalized Gamma Approximation to Generalized Negative Binomial Random Sums
We investigate the proximity in terms of zeta-structured metrics of generalized negative binomial random sums to generalized gamma distribution with the corresponding parameters, extending thus the zeta-structured estimates of the rate of convergence in ...
Irina Shevtsova, Mikhail Tselishchev
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Negative Binomial and Multinomial States: probability distributions and coherent states [PDF]
Following the relationship between probability distribution and coherent states, for example the well known Poisson distribution and the ordinary coherent states and relatively less known one of the binomial distribution and the $su(2)$ coherent states ...
Fu, Hong-Chen, Sasaki, Ryu
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Analysis of Cumulant Moments in High Energy Hadron-Hadron Collisions by Truncated Multiplicity Distributions [PDF]
Oscillatory behavior of cumulant moments obtained from the experimental data in $pp$ collisions and $\bar{p}p$ collisions are analyzed by the modified negative binomial distribution (MNBD) and the negative binomial distribution (NBD).
A. Breakstone +16 more
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Comparisons of statistical distributions for cluster sizes in a developing pandemic
Background We consider cluster size data of SARS-CoV-2 transmissions for a number of different settings from recently published data. The statistical characteristics of superspreading events are commonly described by fitting a negative binomial ...
M. J. Faddy, A. N. Pettitt
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Reliability of environmental sampling culture results using the negative binomial intraclass correlation coefficient. [PDF]
The Intraclass Correlation Coefficient (ICC) is commonly used to estimate the similarity between quantitative measures obtained from different sources.
Aly, Sharif S +3 more
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Spatial distribution in marine invertebrates in rocky shore of Araucania Region (38° S, Chile) [PDF]
The rocky shores in Chile have a wide invertebrate species diversity, that include species with marked abundances in determined regions. The aim of the present study is to analyse the spatial distribution pattern in different marine invertebrate species ...
P. De los Ríos, E. Carreño
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