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Journals / İstatistik Araştırma Dergisi / 2023 / Cilt: 13 Sayı: 1

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

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

Abhıshek AGARWAL
Hımanshu PANDEY
Pages
48–60
Publication Date
2023-07-26
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The suitability of the size biased model tested through the real data sets on human migration pattern.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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).
📊
Key Findings & Data:Its raw moments and central moments has been obtained.
💡
Conclusion & Impact:The suitability of the size biased model tested through the real data sets on human migration pattern.
🔬Design:Modeling & Simulation
📍Scope:2022 Verileri
⚙️Variables:Uyum iyiliği · Tek boyutlu yanlılık · Himanshu Dağılımı

Abstract

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.

Özet

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.

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Cite This Article

AGARWAL, A., PANDEY, H. (2023). A One-Dimensional Biased Probability Model Based on Himanshu Distribution for Vital Events Related to Migration and Mortality Data.. İstatistik Araştırma Dergisi, Cilt: 13 Sayı: 1, 48–60. https://ajindex.com/articles/953469

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References (12)

  1. Aryal T.R. (2011). Inflated Geometric distribution to study the distribution of rural out migrants, Journal of Institute of Engineering, 8(1&2), 266-268.
  2. Agarwal A., Pandey H., Himanshu distribution and its applications, Bulletin of Mathematics and Statistics Research.2022;10(4):24-35.
  3. Agarwal, A., & Pandey, H. (2022). Probability Model Based on Zero Truncation of Himanshu Distribution and Their Applications. Asian Journal of Probability and Statistics, 20(4), 57-67.
  4. Agarwal, A., & Pandey, H. (2022). An Inflated Probability Model for the Adult Male Migrants. International Journal of Statistics and applied Mathematics, 7(6), 48-52.
  5. Dubey A., Pandey H. (2021). An inflated probability models for Commutation pattern. Bulletin of Mathematics and Statistics Research, 8(4),101-108.
  6. Dubey, A., & Pandey, H. (2022). An inflated probability models for adult out migration. International Journal of Statistics and Applied Mathematics, 7(5), 80-82.
  7. Fisher, R. A. (1934). The effect of methods of ascertainment upon the estimation of frequencies. Annals of eugenics, 6(1), 13-25.
  8. Jai Kishun, Pandey H. (2009). Inflated Probability Model for Risk of vulnerability to HIV/AIDS infection among female Migrants. Journal of Reliability and Statistical study, 2(2), 77-84.
  9. Lal DN (1955). Patna in 1955,
  10. A Demographic Sample Survey, Demographic Research Centre, Department of Statistics, Patna University, India. Meegama SA (1980). Socio-economic determinants of infant and child mortality in Sri Lanka, An analysis of post war experience, International Statistical Institute (World Fertility Survey), Netherland. Lappi, J. and bailey, R.L. (1987): Estimation of diameter increment function or other tree relations using angle-count samples, Forest science, 33, 725 – 739. Pandey A, Pandey H, Shukla V.K. (2015). An inflated Probability for rural out migration, Journal of Computer and Mathematical Sciences, 6(12), 702-711.
  11. Pandey H., Jai kishun, (2010) A probability model for the child mortality in a family, Revista Colombiana de Estadistica, 33(1), 1-11.
  12. Patil, G.P. and Rao, C.R. (1977): The Weighted distributions: A survey and their applications. In applications of Statistics, Ed P.R. Krishnaiah, 383 – 405, North Holland Publications Co., Amsterdam. Patil, G.P. and Rao, C.R. (1978): Weighted distributions and size-biased sampling with applications to wild-life populations and human families, Biometrics, 34, 179 – 189. Singh, B. P., & Singh, N. K. (2016). On the distribution of risk of migration