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Article | 05-September-2021

A new count data model applied in the analysis of vaccine adverse events and insurance claims

The article presents a new probability distribution, created by compounding the Poisson distribution with the weighted exponential distribution. Important mathematical and statistical properties of the distribution have been derived and discussed. The paper describes the proposed model’s parameter estimation, performed by means of the maximum likelihood method. Finally, real data sets are analyzed to verify the suitability of the proposed distribution in modeling count data sets

Showkat Ahmad Dar, Anwar Hassan, Ahmad Para Bilal, Sameer Ahmad Wani

Statistics in Transition New Series, Volume 22 , ISSUE 3, 157–174

Research Article | 04-September-2019

CHARACTERIZATION OF THE SUM OF BINOMIAL RANDOM VARIABLES UNDER RANKED SET SAMPLING

Vivek Verma, Dilip C. Nath

Statistics in Transition New Series, Volume 20 , ISSUE 3, 1–29

Article | 20-September-2020

Poisson Weighted Ishita Distribution: Model for Analysis of Over-Dispersed Medical Count Data

A new over-dispersed discrete probability model is introduced, by compounding the Poisson distribution with the weighted Ishita distribution. The statistical properties of the newly introduced distribution have been derived and discussed. Parameter estimation has been done with the application of the maximum likelihood method of estimation, followed by the Monte Carlo simulation procedure to examine the suitability of the ML estimators. In order to verify the applicability of the proposed

Bilal Ahmad Para, Tariq Rashid Jan

Statistics in Transition New Series, Volume 21 , ISSUE 3, 171–184

Article | 05-September-2021

Robust Bayesian insurance premium in a collective risk model with distorted priors under the generalised Bregman loss

square-error, LINEX, weighted square error, Brown, entropy loss. Some uncertainty about a prior is assumed by a distorted band class of priors. The range of collective and Bayes premiums is calculated and posterior regret Γ-minimax premium as a robust procedure has been implemented. Two examples are provided to illustrate the issues considered - the first one with an unknown parameter of the Poisson distribution, and the second one with unknown parameters of distributions of the number and

Agata Boratyńska

Statistics in Transition New Series, Volume 22 , ISSUE 3, 123–140

Article | 17-February-2021

A resource-conserving serologic and high-throughput molecular approach to screen for blood donors with an IN:−5 phenotype

pooled gDNA was added to the real-time PCR assay. The pools were tested twice to confirm sensitivity and to ensure that individuals harboring c.449A variant are not missed. Statistical Analysis Ninety-five percent confidence intervals (CIs) for allele frequencies were calculated using the Poisson distribution.11 Results The blood donor profile at the blood center where this study was carried out consisted mainly of the Hindu community; only a few sporadic donors came from the proband’s Muslim

S.R. Joshi, S.B. Senjaliya, K. Srivastava, W.A. Flegel

Immunohematology, Volume 36 , ISSUE 4, 129–132

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