International Journal of Engineering, Science and Mathematics

  • Year: 2018
  • Volume: 7
  • Issue: 3

Estimation of finite population total using birth and death process

  • Author:
  • Lamin Kabareh1, Thomas Mageto2
  • Total Page Count: 16
  • DOI:
  • Page Number: 33 to 48

1Pan African University Institute for Basic Sciences, Technology and Innovation (PAUSTI)

2Jomo Kenyatta University of Agriculture and Technology, P.O. Box: 62000 − 00200, Nairobi, Kenya

Online published on 4 May, 2019.

Abstract

Estimation of finite population total using birth-and-death process in the presence of a sample frame is considered. The model based on birth-and-death process model is proposed. Like the existing estimators, this estimation technique deals with initial condition and is based on yearly population totals in order to fit in a model within a given period of time. The model is capable of showing three processes, namely, exponential growth, exponential decay and constant growth. The proposed birth-and-death process model technique has shown to be efficient especially with large data. The empirical study indicated that model is efficient and can estimate properly even in the presence of outliers

Keywords

Birth-and-death, process, model, estimation, finite population, sample frame, exponential growth, decay, constant, empirical study and outliers