Autor: Verma, Vivek - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

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Skocz do pozycji: 2.

Tytuł:: Bayesian estimation of fertility rates under imperfect age reporting
Autorzy:: Verma, Vivek
Nath, Dilip C.
Dwivedi, S. N.
Powiązania:: https://bibliotekanauki.pl/articles/14761323.pdf
Data publikacji:: 2023-03-15
Wydawca:: Główny Urząd Statystyczny
Tematy:: Fisher information
square error loss function
age-specific marital fertility rate
Bayes estimator
maximum likelihood principle
Opis:: This article outlines the application of the Bayesian method of parameter estimation to situations where the probability of age misreporting is high, leading to transfers of an individual from one age group to another. An essential requirement for Bayesian estimation is prior distribution, derived for both perfect and imperfect age reporting. As an alternative to the Bayesian methodology, a classical estimator based on the maximum likelihood principle has also been discussed. Here, the age misreporting probability matrix has been constructed using a performance indicator, which incorporates the relative performance of estimators based on age when reported correctly instead of misreporting. The initial guess of performance indicators can either be empirically or theoretically derived. The method has been illustrated by using data on Empowered Action Group (EAG) states of India from National Family Health Survey-3 (2005-2006) to estimate the total marital fertility rates. The present study reveals through both a simulation and real-life set-up that the Bayesian estimation method has been more promising and reliable in estimating fertility rates, even in situations where age misreporting is higher than in case of classical maximum likelihood estimates.
Źródło:: Statistics in Transition new series; 2023, 24, 2; 39-57
1234-7655
Pojawia się w:: Statistics in Transition new series
Dostawca treści:: Biblioteka Nauki

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