The Experts below are selected from a list of 285 Experts worldwide ranked by ideXlab platform
D. S. Shibu - One of the best experts on this subject based on the ideXlab platform.
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On Intervened Stuttering Poisson Distribution and Its Applications
Journal of Statistical Theory and Practice, 2013Co-Authors: C. Satheesh Kumar, D. S. ShibuAbstract:Intervened Poisson Distribution (IPD) has been found suitable for dealing with intervention problems in medical situations where positive Poisson Distribution fails. Kumar and Shibu (2011a) introduced a modified version of IPD, namely, MIPD, to deal situations of two interventions. Through this article we propose an extended form of this modified version, namely, the intervened stuttering Poisson Distribution (ISPD), appropriate for situations of more than two interventions. An important characteristic of ISPD over IPD and MIPD is that it is both underdispersed and overdispersed for particular values of its parameters and hence more suitable for practical situations. Here, we study some important properties of ISPD and discuss the estimation of its parameters by method of factorial moments and maximum likelihood. Some real-life data sets are given to illustrate that ISPD gives the best fit compared to the existing models.
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Modified intervened Poisson Distribution
Statistica, 2011Co-Authors: C. Satheesh Kumar, D. S. ShibuAbstract:In this paper, we develop modified intervened Poisson Distribution (MIPD) and consider some of its properties. Some real life data sets are given here to illustrate MIPD is the best fit among intervened generalized Poisson Distribution (IGPD), intervened Poisson Distribution (IPD) and Positive Poisson Distribution (PPD).
N. R. Bohidar - One of the best experts on this subject based on the ideXlab platform.
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On truncated Poisson Distribution for determining mean number of defectives in pharmaceutical products
Drug Development and Industrial Pharmacy, 1992Co-Authors: N. R. BohidarAbstract:AbstractThe Poisson Distribution plays a dominant role in the determination of the mean value of a Distribution of the number of defective units (e.g. tablets, capsules) per sample, based on several samples of same size. If, however, the data emanates from samples with at least one defective unit in each sample, involving the absence of the zero-defective category, then the formula of the Poisson Distribution as well as of the mean number of defective units are no longer tenable. In this presentation, appropriate formula for the Poisson Distribution, called the truncated Poisson Distribution, and for the mean, θ, are developed. The maximum likelihood method of estimation of the parameter θ by employing numerical (iterative) analysis methods is depicted, in detail. The procedure for conducting the chi-square test of goodness of fit of the experimental data to the truncated Poisson Distribution is demonstrated. The results of the analyses of two recent experiments based on the methods described above are pr...
C. Satheesh Kumar - One of the best experts on this subject based on the ideXlab platform.
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On Intervened Stuttering Poisson Distribution and Its Applications
Journal of Statistical Theory and Practice, 2013Co-Authors: C. Satheesh Kumar, D. S. ShibuAbstract:Intervened Poisson Distribution (IPD) has been found suitable for dealing with intervention problems in medical situations where positive Poisson Distribution fails. Kumar and Shibu (2011a) introduced a modified version of IPD, namely, MIPD, to deal situations of two interventions. Through this article we propose an extended form of this modified version, namely, the intervened stuttering Poisson Distribution (ISPD), appropriate for situations of more than two interventions. An important characteristic of ISPD over IPD and MIPD is that it is both underdispersed and overdispersed for particular values of its parameters and hence more suitable for practical situations. Here, we study some important properties of ISPD and discuss the estimation of its parameters by method of factorial moments and maximum likelihood. Some real-life data sets are given to illustrate that ISPD gives the best fit compared to the existing models.
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Modified intervened Poisson Distribution
Statistica, 2011Co-Authors: C. Satheesh Kumar, D. S. ShibuAbstract:In this paper, we develop modified intervened Poisson Distribution (MIPD) and consider some of its properties. Some real life data sets are given here to illustrate MIPD is the best fit among intervened generalized Poisson Distribution (IGPD), intervened Poisson Distribution (IPD) and Positive Poisson Distribution (PPD).
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Binomial Poisson Distribution Revisited
Economic Quality Control, 2010Co-Authors: C. Satheesh KumarAbstract:In this paper we establish certain recurrence relations for probabilities, raw moments and factorial moments of the three parameter binomial-Poisson Distribution (BPD). The well-known extended Poisson Distribution of order k is obtained as limiting case of BPD.
Saurabh Porwal - One of the best experts on this subject based on the ideXlab platform.
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an application of certain convolution operator involving Poisson Distribution series
Asian-european Journal of Mathematics, 2016Co-Authors: Saurabh PorwalAbstract:The purpose of this paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson Distribution series. To be more precise, we investigate such connections with the classes of analytic univalent functions k − UCV∗(β), k − Sp∗(β), R(β), Rτ(A,B), k − PUCV∗(β) and k − PSp∗(β) in the open unit disc U.
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some inclusion results of certain subclass of analytic functions associated with Poisson Distribution series
Hacettepe Journal of Mathematics and Statistics, 2016Co-Authors: G Murugusundaramoorthy, K Viyaja, Saurabh PorwalAbstract:The purpose of the present paper is to investigate some characterization for Poisson Distribution series to be in the new subclasses $G(\lambda, \alpha)$ and $K(\lambda, \alpha)$ of analytic functions.
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On Mittag-Leffler type Poisson Distribution
2016Co-Authors: Saurabh Porwal, K. K. DixitAbstract:The purpose of the present paper is to introduce Mittag-Leffler type Poisson Distribution. We obtain some properties of this Distribution. It is worthy to note that the results of this Distribution reduces to the result of Poisson Distribution for \(\alpha =\beta =1\).
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a unified study on starlike and convex functions associated with Poisson Distribution series
Afrika Matematika, 2016Co-Authors: Saurabh Porwal, Manish KumarAbstract:In the present paper, we investigate some characterization for Poisson Distribution series to be in the unified subclasses $$P_{\lambda }(\alpha )$$ and $$D_{\lambda }(\alpha )$$ of analytic functions.
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an application of a Poisson Distribution series on certain analytic functions
Journal of Complex Analysis, 2014Co-Authors: Saurabh PorwalAbstract:The purpose of the present paper is to introduce a Poisson Distribution series and obtain necessary and sufficient conditions for this series belonging to the classes and . We also consider an integral operator related to this series.
Paul Blackwell - One of the best experts on this subject based on the ideXlab platform.
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A finite form for the wrapped Poisson Distribution
Advances in Applied Probability, 1992Co-Authors: Frank Ball, Paul BlackwellAbstract:We give a finite form for the probability mass function of the wrapped Poisson Distribution, together with a probabilistic proof. We also describe briefly its connection with existing results.
