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Wyświetlanie 1-10 z 27
Tytuł:
Characterization of the sum of binomial random variables under ranked set sampling
Autorzy:
Verma, Vivek
Nath, Dilip C.
Powiązania:
https://bibliotekanauki.pl/articles/1192469.pdf
Data publikacji:
2019-08-30
Wydawca:
Główny Urząd Statystyczny
Tematy:
Poisson distribution
Opis:
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.
Źródło:
Statistics in Transition new series; 2019, 20, 3; 1-29
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation by Poisson law
Autorzy:
Aleškevičienė, Aldona
Statulevičius, Vytautas
Powiązania:
https://bibliotekanauki.pl/articles/729712.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Poisson distribution
compound Poisson distribution
asymptotic expansions
large deviations
cumulants
Opis:
We present here the results of the investigation on approximation by the Poisson law of distributions of sums of random variables in the scheme of series. We give the results pertaining to the behaviour of large deviation probabilities and asymptotic expansions, to the method of cumulants, with the aid of which our results have been obtained.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2005, 25, 2; 161-179
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Compound of an Inflated Pascal Distribution with the Poisson One
Złożenie inflacyjnego rozkładu Pascala z rozkładem Poisson
Autorzy:
Gerstenkorn, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/904717.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
compound distributions
compound inflated Pascal-Poisson distribution
inflated Pascal distribution
Poisson distribution
factorial
crude and incomplete moments
recurrence relations for the moments
Opis:
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.
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
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2005, 194
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The application of non-life insurance ratemaking methods in modelling tax abuses
Autorzy:
Leśkiewicz, Marek
Powiązania:
https://bibliotekanauki.pl/articles/433981.pdf
Data publikacji:
2019
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
tax abuse
counting variable
compound Poisson distribution
ZIP model
Opis:
In the most general terms, tax evasion is a breach of tax law. Such a practice is characterised by the economic effect of tax burden elimination or reduction. This paper is aimed at adapting the fixed effects models that are applied in the non-life insurance ratemaking process to modelling tax abuses. The common characteristics of tax risk assessment and non-life insurance ratemaking include for both cases: the number of a given type of events is counted in the examined time period, the distribution of the amount levied as a tax liability for a single event is examined, with the distribution characterised by strong right-skewed asymmetry, and finally the expected amount levied as a tax liability on a single insured/entity is estimated based on these results. In the case of insurance ratemaking, the obtained expected value serves directly the purpose of estimating the insurance premium. In the area of tax risk, the obtained expected values serve the purpose of estimating the scale of abuses arising from the application of a given behaviour pattern.
Źródło:
Śląski Przegląd Statystyczny; 2019, 17 (23); 59-70
1644-6739
Pojawia się w:
Śląski Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new count data model applied in the analysis of vaccine adverse events and insurance claims
Autorzy:
Dar, Showkat Ahmad
Hassan, Anwar
Ahmad, Peer Bilal
Wani, Sameer Ahmad
Powiązania:
https://bibliotekanauki.pl/articles/1827552.pdf
Data publikacji:
2021-09-06
Wydawca:
Główny Urząd Statystyczny
Tematy:
poisson distribution
weighted exponential distribution
compound distribution
count data
maximum likelihood estimation
Opis:
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 representing vaccine adverse events and insurance claims.
Źródło:
Statistics in Transition new series; 2021, 22, 3; 157-174
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The odd power generalized Weibull-G power series class of distributions: properties and applications
Autorzy:
Oluyede, Broderick
Moakofi, Thatayaone
Chipepa, Fastel
Powiązania:
https://bibliotekanauki.pl/articles/2034112.pdf
Data publikacji:
2022-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
Weibull-g distribution
power series
Poisson distribution
logarithmic distribution
maximum likelihood estimation
Opis:
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.
Źródło:
Statistics in Transition new series; 2022, 23, 1; 89-108
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zero-modified Poisson-Modification of Quasi Lindley distribution and its application
Autorzy:
Tharshan, Ramajeyam
Wijekoon, Pushpakanthie
Powiązania:
https://bibliotekanauki.pl/articles/2156994.pdf
Data publikacji:
2022-12-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
over-dispersion
mixed Poisson distribution
PMQL distribution
zero modification
maximum likelihood estimation
Opis:
The Poisson-Modification of Quasi Lindley (PMQL) distribution is a newly introduced mixed Poisson distribution for over-dispersed count data. The aim of this article is to introduce the Zero-modified PMQL (ZMPMQL) distribution as an alternative to the PMQL distribution in order to accommodate zero inflation/deflation. The method of obtaining the ZMPMQL distribution jointly with some of its important properties, namely the probability mass and distribution functions, mean, variance, index of dispersion, and quantile function are presented. Furthermore, some of its special cases are discussed. The maximum likelihood (ML) estimation method is used for the unknown parameter estimation. A simulation study is conducted in order to evaluate the asymptotic theory of the ML estimation method and to show the superiority of the ML method over the method of moments estimation. The applicability of the introduced distribution is illustrated by using a real-world data set.
Źródło:
Statistics in Transition new series; 2022, 23, 4; 113-128
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Poisson area-biased Ailamujia Distribution and its applications in environmental and medical sciences
Autorzy:
Aijaz, Ahmad
Ain, S. Qurat ul
Afaq, Ahmad
Tripathi, Rajnee
Powiązania:
https://bibliotekanauki.pl/articles/2108223.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
compound technique
Poisson distribution
area-biased Ailamujia distribution
reliability analysis
order statistics
maximum likelihood estimator
Opis:
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.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 167-184
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Compound Poisson approximation for extremes of moving minima in arrays of independent random variables
Autorzy:
Dudkiewicz, Jadwiga
Powiązania:
https://bibliotekanauki.pl/articles/1339041.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
consecutive-m-out-of-n system
moving minima
compound Poisson distribution
order statistics
Opis:
We present conditions sufficient for the weak convergence to a compound Poisson distribution of the distributions of the kth order statistics for extremes of moving minima in arrays of independent random variables.
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 1; 19-28
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Bayes estimators of the parameters of inflated modified power series distributions
Autorzy:
Murat, Małgorzata
Szynal, Dominik
Powiązania:
https://bibliotekanauki.pl/articles/729948.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
posterior distributions
posterior moments
Bayes estimator
inflated distribution
generalized Pareto distribution
generalized Poisson distribution
generalized negative binomial distribution
lost games distribution
Opis:
In this paper, we study the class of inflated modified power series distributions (IMPSD) where inflation occurs at any of support points. This class includes among others the generalized Poisson,the generalized negative binomial and the lost games distributions. We derive the Bayes estimators of parameters for these distributions when a parameter of inflation is known. First, we take as the prior distribution the uniform, Beta and Gamma distribution. In the second part of this paper, the prior distribution is the generalized Pareto distribution.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2000, 20, 2; 189-209
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-10 z 27

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