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Truncated Poisson Distributions

Paul R. Rider
1953 Journal of the American Statistical Association  
The distribution is somewhat similar to a truncated discrete distribution, in that there is no frequency corresponding to the number of words occurring zero times.  ...  Other examples of truncated discrete distributions can easily be thought of. Consider, for example, the distribution of number of traf- fic violations.  ... 
doi:10.1080/01621459.1953.10501204 fatcat:tefw2bhzsjf63fvqlys7mivfha

A zero truncated discrete distribution: Theory and applications to count data

Tassaddaq Hussain Kiani
2020 Pakistan Journal of Statistics and Operation Research  
Thedistribution contains some submodels and represents a two-component mixture of a zero truncated geometric distribution and a zero truncated negative binomial distribution with certain parameters.  ...  Therefore, in this article we have proposed a new and simple structure model, named a zero truncated discrete Lindley distribution.  ...  Acknowledgment The authors would like to thank the chief editor, editor and referees for helpful comments and valuable suggestions which greatly help to improve the quality of this manuscript.  ... 
doi:10.18187/pjsor.v16i1.2133 fatcat:hykrb6vzhzekdnjtc2eecqjgpy

Generalized Version of Complementary Lindley Power Series Distribution

Zahoor Ahmad, Adil Rashid, T. R. Jan
2018 Pakistan Journal of Statistics and Operation Research  
In this paper, we shall introduce a new class of generalized complementary compound lifetime distributions which is obtained by compounding generalized Lindley distribution with power series distribution  ...  of proposed class has been tested statistically by using it to model some real life data set.  ...  Adil and Jan (2013) obtained a compound of zero truncated GNBD with that of GBD, the new compound distribution so obtained has some desirable properties as it embodies several truncated compound distributions  ... 
doi:10.18187/pjsor.v14i1.1987 fatcat:ws626r2ohrc3ppdcasgc5kgu3e

Page 366 of Mathematical Reviews Vol. , Issue 87a [page]

1987 Mathematical Reviews  
(German) [Some contributions to the theory of positive definite functions with applications for characterization problems in mathematical statistics] With English and Russian summaries.  ...  Gupta, Pushpa Lata (1-ME) 87a:62026 Some characterizations of distributions by truncated moments. Statistics 16 (1985), no. 3, 465-473.  ... 

Page 5974 of Mathematical Reviews Vol. , Issue 2002H [page]

2002 Mathematical Reviews  
Summary: “The first part of this paper gives some general con- sistency theorems for the maximum product of spacings (MPS) method, an estimation method related to maximum likelihood.  ...  The MPS es- timator for a distribution function with a monotone density is shown to have a simple explicit representation analogous to the Grenander estimator, and is asymptotically minimax with respect  ... 

Generalized extended Weibull power series family of distributions

Said H. Alkarni
2021 Journal of Data Science  
The method of maximum likelihood is used for obtaining a general setup for estimating the parameters of any distribution in this class.  ...  Special subclasses and applications for some models in a real dataset are introduced to demonstrate the flexibility and the benefit of this new family.  ...  Acknowledgments The author is grateful to the Deanship of Scientific Research at King Saud University, as represented by the Research Center of the College of Business Administration, for financially supporting  ... 
doi:10.6339/jds.201607_14(3).0002 fatcat:2vizvwfmpfhunjsk6wfas3feme

Page 1883 of Mathematical Reviews Vol. , Issue 2001C [page]

2001 Mathematical Reviews  
From the summary: “This note proves that the convolution of an a@-unimodal discrete distribution with a f-unimodal discrete distribution is (a + £)-unimodal whenever (a + f) > 1.  ...  The inequalities mentioned in the title concern, among other re- sults, (1) a new extension of the truncation inequality (a counter- part of a result of S. Csérg6 [Z. Wahrsch. Verw.  ... 

Exponential-Discrete Generalized Exponential Distribution: A New Compound Model

Vahid Nekoukhou, Hamid Bidram
2016 Journal of Statistical Theory and Applications (JSTA)  
The new introduced model contains the exponential-geometric distribution as a special case. Some basic distributional properties, moments and order statistics of the new model are discussed.  ...  This new model is obtained by compounding the exponential distribution and discrete generalized exponential distribution of a second type, which is a generalization of the geometric distribution.  ...  Acknowledgments The authors sincerely thank the anonymous referees and the Associate Editor for their valuable considerations.  ... 
doi:10.2991/jsta.2016.15.2.7 fatcat:xbd4i4i5jfhibjnhmvn7e7yyza

Page 2850 of Mathematical Reviews Vol. , Issue 84g [page]

1984 Mathematical Reviews  
The class of distributions (¢.g., p,,p2,---) with the discrete HNBUE [HNWUE] property (i.¢., for which 25°, P,< [>] u(1—1/p)* for k=0,1,2,---, where w= Z% op, and P= TF_;, px) is also studied. H. K.  ...  Identifiability results for a k-out-of-p system. Comm. Statist. A—Theory Methods 12 (1983), no. 2, 199-205.  ... 

Generalized inverse Lindley power series distributions: modeling and simulation

Said H. Alkarni
2019 Journal of Nonlinear Science and its Applications  
The method of maximum likelihood estimation can be used to estimate the model parameters of this new class. A simulation for a selective model will be discussed.  ...  At the end, we will demonstrate applications of three real data sets to show the flexibility and potential of the new class of distributions.  ...  Acknowledgment The author is grateful to the Deanship of Scientific Research at King Saud University, as represented by the Research Center of the College of Business Administration, for financially supporting  ... 
doi:10.22436/jnsa.012.12.03 fatcat:vxru3iuhenh5fch6znw5lqs4qu

Page 5677 of Mathematical Reviews Vol. , Issue 92j [page]

1992 Mathematical Reviews  
This monograph comes with a bibliography of 451 references on random graphs, methods in cluster analysis and their applications.  ...  To do this a major problem has to be handled: Whereas Dempster’s theory STATISTICS 92j:62007 is built originally for families of discrete distributions, the theory of structural inference typically emphasizes  ... 

A new inequality for maximum likelihood estimation in statistical models with latent variables [article]

Niels Lundtorp Olsen
2019 arXiv   pre-print
We present a new inequality involving posterior distributions of a latent variable that holds under very general conditions.  ...  Maximum-likelihood estimation (MLE) is arguably the most important tool for statisticians, and many methods have been developed to find the MLE.  ...  Discussion With its very general setting, the presented theorem should be applicable in a wide range of models, since latent variables are present in many classes of statistical models.  ... 
arXiv:1912.04011v1 fatcat:4yhznoa2gben7oy3wjsle4dgpm

Page 6749 of Mathematical Reviews Vol. , Issue 2002I [page]

2002 Mathematical Reviews  
We suggest a test statistic suitable for a general class of model and propose a parameter- based bootstrap test, based on this statistic, for when the simpler model is correct.” 2002i:62034 62F10 62F25  ...  We unify some of the existing results, available in the literature for specific distributions, by deriving the uniformly minimum vari- ance unbiased estimator (UMVUE) for the truncation parameter of the  ... 

A retrospective study on Lindley distribution

Lishamol Tomy
2018 Biometrics & Biostatistics International Journal  
Generalizations make a distribution more flexible especially for studying the tail properties. There exist many generalized family of continuous univariate distributions.  ...  In this article, a survey on Lindley distribution, its extensions and classes is conducted.  ...  Shanker 44 obtained a new quasi Poisson-Lindley distribution by compounding Poisson distribution with a new quasi Lindley distribution introduced by Shanker et al. 45 obtained a discrete two parameter  ... 
doi:10.15406/bbij.2018.07.00205 fatcat:jfo6wp6trbcjdfhcx62ldluunu

Generalizedextended Weibull Power Series Family of Distributions

Said H. Alkarni
2015 American Review of Mathematics and Statistics  
The method of maximum likelihood is used for obtaining a general setup for estimating the parameters of any distribution in this class.  ...  The proposed family contains all types of combinations between truncated discrete with generalized and nongeneralized Weibull distributions.  ...  Acknowledgments The author is grateful to the Deanship of Scientific Research at King Saud University,as represented by the Research Center of theCollege of Business Administration,for financially supporting  ... 
doi:10.15640/arms.v3n2a8 fatcat:k7eaqqacbbfbtkdimatwy4q73y
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