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Characterization of the sum of binomial random variables under ranked set sampling

100%
Verma V., Nath D. C.
Statistics in Transition new series
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2019
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vol. 20
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issue 3
1-29
EN
In this paper, we examined the characteristics of the sum of independent and non-identical set of binomial ranked set samples, where each set has different order depending success probability. The characterization is done by establishing the general recurrence relations for two different situations based on the number of cycle, which is initially pre-assumed as a constant integer and when it is a random variable. To extend the knowledge about the characteristics of sum in terms of their behaviour and pattern, first four moments i:e:; mean, variance, skewness and kurtosis are derive and compared with the sum of binomial simple random samples with same success probability. The proposed procedure has been illustrated through a reallife data on survivorship of children below one year in Empowered Action Groups (EAG) states of India.
2
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Application of a single sampling plan minimizing the sum of risks in an EOQ model with trade credit

51%
VEERAKUMARI K. P., HARIKRISHNAN A.
Operations Research and Decisions
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2019
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vol. 29
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issue 1
121-130
EN
Acceptance sampling by attributes is a universally used statistical tool for quality control. It is a technique that deals with the decision to accept or reject a batch of goods using defined procedures. An attribute single sampling plan designed under the assumption that the number of defects has a Poisson distribution is the optimal plan whenever the chance of a defect occurring in the manufacturing process is low. This study introduces the incorporation of an attribute single sampling plan minimizing the sum of risks with an economic order quantity (EOQ) model taking into account the possibility of trade credit. The plan ensures the effectiveness of the optimal design based on the minimization of costs including the inspection costs, stock holding costs and ordering costs.
3
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The odd power generalized Weibull-G power series class of distributions: properties and applications

44%
Oluyede B., Moakofi T., Chipepa F.
Statistics in Transition new series
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2022
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vol. 23
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issue 1
89-108
EN
We develop a new class of distributions, namely, the odd power generalizedWeibull-G power series (OPGW-GPS) class of distributions. We present some special classes of the proposed distribution. Structural properties, have also been derived. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. Moreover, two real data examples on selected data sets, to illustrate the usefulness of the new class of distributions. The proposed model outperforms several non-nested models on selected data sets.
4
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Poisson area-biased Ailamujia Distribution and its applications in environmental and medical sciences

38%
Aijaz A., Ain S. Q. u., Afaq A., Tripathi R.
Statistics in Transition new series
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2022
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vol. 23
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issue 3
167-184
EN
In this paper, a new Poisson area-biased Ailamujia distribution has been formulated to analyse count data. It was created by combining two distributions: the Poisson and areabiased Ailamujia distributions, using the compounding technique. Several distributional properties of the formulated distribution were studied. Its ageing characteristics were determined and expressed explicitly. A variety of diagrams were used to demonstrate the characteristics of the probability mass function (pmf) and the cumulative distribution function (cdf). The parameter of the developed model was estimated by employing the maximum likelihood estimation approach. Finally, two data sets were used to demonstrate the effectiveness of the investigated distribution.
5
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A Compound of an Inflated Pascal Distribution with the Poisson One

38%
Gerstenkorn T., University of Łódź F. o. M.
Acta Universitatis Lodziensis. Folia Oeconomica
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2005
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vol. 194
PL
W pracy prezentowane jest złożenie inflacyjnego rozkładu Pascala z rozkładem Poissona. W części wstępnej pracy podany jest przegląd wyników badawczych dotyczących tematu złożeń rozkładów ze szczególnym uwzględnieniem polskich autorów. W dalszych rozdziałach podano funkcję prawdopodobieństwa rozkładu złożonego Pascal- -Poisson oraz jego momenty silniowe, zwykłe, niekompletne oraz związki rekurencyjne.
EN
In this paper there is presented a compound of an inflated Pascal distribution with the Poisson one. In the introductory part of the paper is giving an overview of the last results in topic of compounding of distributions, considering also the Polish results. In succeeding Sections, probability function of the compound distribution Pascal-Poisson, factorial, crude and incomplete moments as well recurrence relations of this distribution are presented. MSClassilication: 60
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