A One-Dimensional Biased Probability Model Based on Himanshu Distribution for Vital Events Related to Migration and Mortality Data.

Yıl 2023, Cilt: 13 Sayı: 1, 48 - 60, 26.07.2023

Abhıshek Agarwal , Hımanshu Pandey

Öz

In this paper a size biased probability model based on Himanshu distribution has been obtained by size biasing the Himanshu distribution introduced by Agarwal and Pandey (2022). Its raw moments and central moments has been obtained. Hence expression of coefficient of variation, Index of dispersion, Skewness, Kurtosis have also been given. The parameter involved in the proposed Model has been obtained by the estimation techniques. The suitability of the size biased model tested through the real data sets on human migration pattern.

Anahtar Kelimeler

One Dimensional Biasing, Himanshu Distribution, Moments, Estimation of Parameter, Goodness of Fit

Göç Ve Mortalite Verilerineİlişkin Yaşamsal Olaylar İçin Himanshu Dağılımı Temelli Tek Boyutlu Önyargılı Olasılık Modeli.

Öz

Bu çalışmada, Agarwal ve Pandey (2022) tarafından tanıtılan Himanshu dağılımına dayalı tek boyutlu önyargılı bir olasılık modeli elde edilmiştir. Ham ve merkezi momentleri çıkarılmıştır. Değişim katsayısı, dağılım indeksi, çarpıklık, basıklık değerleri de verilmiştir. Önerilen modelde yer alan parametre, uygun tahmin yöntemleri ile elde edilmiştir. Tek boyutlu yanlı olasılık modelinin uygunluğu, farklı bölgelerdeki göç ve ölüm örüntülerine ilişkin gerçek veri setleri üzerinden test edilmiştir.

Anahtar Kelimeler

Uyum iyiliği, Tek boyutlu yanlılık, Himanshu Dağılımı, Momentler, Parametre tahmini

Kaynakça

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