Use of Distribution Function in Estimation of Mean of Some Demographic Duration Variables

Authors

  • R. C. Yadava Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India
  • Abhay Kumar Tiwari Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India
  • Vaishali Patel Department of Statistics, Meerut College, Meerut-250002, Uttar Pradesh, India
  • Pappu Kumar Singh Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India

DOI:

https://doi.org/10.13052/jrss0974-8024.1818

Keywords:

Reliability, distribution function, life expectancy, postpartumamenorrhea, age at marriage, breastfeeding

Abstract

Life testing, Survival analysis and Reliability theory, although highly inter-related, are fascinating areas of statistical research. Here, the random variable, normally known as ‘Life Time’ of the equipment, is a duration variable which takes only non-negative values. Some examples have been given in the study to demonstrate the similarities between life testing and some demographic phenomena. Several procedures exist for analysing the nature of demographic duration variables such as life expectancy at birth, age at marriage, postpartum amenorrhea, breastfeeding etc. The objective of the present paper provides the procedure that how the mean of some demographic duration variables (life expectancy at birth, age at marriage, postpartum amenorrhea, breastfeeding etc.) can easily be obtained using distribution function? This method is straightforward because the required data to compute the mean is easily obtained without any misreporting, recall lapses or digit preferences of durational variables. For this study, we have considered data from UN population division (Economic and Social Affairs) and national family health survey (NFHS). Results indicate that the estimated expectancy of life at birth, mean age at marriage, average duration of postpartum amenorrhea and breastfeeding using mentioned procedure are close to observed value.

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Author Biographies

R. C. Yadava, Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India

R. C. Yadava obtained his B.Sc., M.Sc. and Ph.D. degrees from Banaras Hindu University. Prof. Yadava started his teaching and research career from his parent institution and retired as Professor of Statistics. He has more than 50 years of teaching experience at Under-graduate and post-graduate levels. Nearly 20 students have obtained their Ph.D. degrees under his supervision. During his academic career, he has published more than 100 research articles in National and International Journals of repute. Some of them are Journal of American Statistical Association (JASA), Canadian Studies in Population, Journal of Biosocial Science, Journal of Data Science, Sankhya, and Demography India. During his tenure at B.H.U., he was head of the Department of Statistics, Dean Faculty of Science, Chief Proctor and many other administrative posts in B.H.U. He has also conducted many research projects as Principal Investigator/Co-investigator sponsored by Indian Council of Medical Research, New Delhi, University Grants Commission, Indian Council of Social Science Research, New Delhi. The major areas of research of Prof. Yadava are Stochastic Modeling of Human Fertility, Effects of Socio-cultural factors on Fertility and conduct of Large-Scale Sample Surveys.

Abhay Kumar Tiwari, Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India

Abhay Kumar Tiwari received master’s degree in statistics from University of Allahabad and Ph.D. in statistics from Banaras Hindu University in 2002. He is currently working as a Professor at the Department of Statistics, Institute of Science, Banaras Hindu University. His research areas include applied statistics, population studies and applied demography. He has more than 20 years of teaching and research experience at Under-graduate and post-graduate levels. He has published more than 80 research articles in National and International Journals of repute.

Vaishali Patel, Department of Statistics, Meerut College, Meerut-250002, Uttar Pradesh, India

Vaishali Patel received her B.Sc. (Hons.) and M.Sc. degrees from the Institute of Science, Banaras Hindu University (BHU), Varanasi, India. She is currently an Assistant Professor at Meerut College (affiliated with Chaudhary Charan Singh University), Meerut, India. Her research focuses on Demography, Population Studies, Applied Statistics, Fertility Modelling, and Life Table Analysis. She has published various research papers in Scopus-indexed, peer-reviewed international journals.

Pappu Kumar Singh, Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India

Pappu Kumar Singh earned a B.Sc. and M.Sc. degree from University of Allahabad, Uttar Pradesh, India. He is a promising young researcher serving as a Research Scholar at the Department of Statistics, Banaras Hindu University, Varanasi, India. His research focuses on Mathematical Demography, Human Fertility Behaviour and Population Dynamics.

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Published

2025-05-19

How to Cite

Yadava, R. C. ., Tiwari, A. K. ., Patel, V. ., & Singh, P. K. . (2025). Use of Distribution Function in Estimation of Mean of Some Demographic Duration Variables. Journal of Reliability and Statistical Studies, 18(01), 189–212. https://doi.org/10.13052/jrss0974-8024.1818

Issue

2025: Vol 18 Iss 1

Section

Articles