Fertility governs central and positive role in the study of human population dynamics. The age-specific fertility pattern has a distinct shape for all human population, to describe which, a number of parametric models have been proposed. The purpose of this study is to develop a mathematical model for fitting age-specific fertility rate pattern of various states of India. Skew-logistic probability density function is used for building the model. The real data, to which this model has been fitted, is obtained from National Family Health Survey- III (2005-2006). The used model is very flexible in nature and hence is useful for modeling diverse fertility patterns which are observed across different states of India. The parameters of the model have been estimated through the method of non-linear least square. By fitting the model it is observed that the proposed model fits well on the fertility pattern for almost each state of the country.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 6, Issue 1) |
| DOI | 10.11648/j.ajtas.20170601.14 |
| Page(s) | 32-37 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Age-Specific Fertility Rate, Parametric Model, Skew-Logistic Probability Density Function, Non-Linear Least Square
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APA Style
Ruchi Mishra, Kaushalendra Kumar Singh, Anjali Singh. (2017). A Model for Age-Specific Fertility Rate Pattern of India Using Skew-Logistic Distribution Function. American Journal of Theoretical and Applied Statistics, 6(1), 32-37. https://doi.org/10.11648/j.ajtas.20170601.14
ACS Style
Ruchi Mishra; Kaushalendra Kumar Singh; Anjali Singh. A Model for Age-Specific Fertility Rate Pattern of India Using Skew-Logistic Distribution Function. Am. J. Theor. Appl. Stat. 2017, 6(1), 32-37. doi: 10.11648/j.ajtas.20170601.14
AMA Style
Ruchi Mishra, Kaushalendra Kumar Singh, Anjali Singh. A Model for Age-Specific Fertility Rate Pattern of India Using Skew-Logistic Distribution Function. Am J Theor Appl Stat. 2017;6(1):32-37. doi: 10.11648/j.ajtas.20170601.14
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Download@article{10.11648/j.ajtas.20170601.14,
author = {Ruchi Mishra and Kaushalendra Kumar Singh and Anjali Singh},
title = {A Model for Age-Specific Fertility Rate Pattern of India Using Skew-Logistic Distribution Function},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {6},
number = {1},
pages = {32-37},
doi = {10.11648/j.ajtas.20170601.14},
url = {https://doi.org/10.11648/j.ajtas.20170601.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20170601.14},
abstract = {Fertility governs central and positive role in the study of human population dynamics. The age-specific fertility pattern has a distinct shape for all human population, to describe which, a number of parametric models have been proposed. The purpose of this study is to develop a mathematical model for fitting age-specific fertility rate pattern of various states of India. Skew-logistic probability density function is used for building the model. The real data, to which this model has been fitted, is obtained from National Family Health Survey- III (2005-2006). The used model is very flexible in nature and hence is useful for modeling diverse fertility patterns which are observed across different states of India. The parameters of the model have been estimated through the method of non-linear least square. By fitting the model it is observed that the proposed model fits well on the fertility pattern for almost each state of the country.},
year = {2017}
}
TY - JOUR T1 - A Model for Age-Specific Fertility Rate Pattern of India Using Skew-Logistic Distribution Function AU - Ruchi Mishra AU - Kaushalendra Kumar Singh AU - Anjali Singh Y1 - 2017/02/03 PY - 2017 N1 - https://doi.org/10.11648/j.ajtas.20170601.14 DO - 10.11648/j.ajtas.20170601.14 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 32 EP - 37 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20170601.14 AB - Fertility governs central and positive role in the study of human population dynamics. The age-specific fertility pattern has a distinct shape for all human population, to describe which, a number of parametric models have been proposed. The purpose of this study is to develop a mathematical model for fitting age-specific fertility rate pattern of various states of India. Skew-logistic probability density function is used for building the model. The real data, to which this model has been fitted, is obtained from National Family Health Survey- III (2005-2006). The used model is very flexible in nature and hence is useful for modeling diverse fertility patterns which are observed across different states of India. The parameters of the model have been estimated through the method of non-linear least square. By fitting the model it is observed that the proposed model fits well on the fertility pattern for almost each state of the country. VL - 6 IS - 1 ER -
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