Date of Submission


Date of Award


Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Quantitative Economics


Theoretical Statistics and Mathematics Unit (TSMU-Kolkata)


Srinivasan, K.

Abstract (Summary of the Work)

Preliminary concepts of life tables, its role in demographic analysis, a brief chronological review of various literature on the construction of life table starting from John Grants investigation on mortality, along with an introduction to the basic problem and objectives of the present study.Chapter II describes the concept and utility of cumulative census survival ratios, first introduced by Professors Ansley J. Coale and Paul Demeny (1967) as the ratio of the number of persons aged x+10 end above enumerated at time t+10 to the number of persons aged x and above enumerated at time t. These are compared to the usual census survival ratios with particular reference to the presence of heavy response biases in age-reporting in the census es of developing countries.Chapter III is devoted to the development of (i) various formulas for estimating 10-year cumulative life table survival ratios from 10-year cumulative census survival ratios under various assumptions regarding the age structure of the population under study; (ii) an iterative procedure for life table construction from 10-year cumulative life table survival ratios above a certain childhood age; and (iii) a procedure for estimating infant and childhood mortality rates.Chapter IV provides an empirical validation of the iterative procedure for life table construction and a discussion on the importance of the procedure. A mathematical treatment on convergence of the iteration process is shown in the appendix.Chapter V illustrates an application of the technique developed in Chapter III with reference to Indian census age- returns and presents the all-India life tables for the decades 1951-61 and 1961-71 after describing those upstart en to control the errors due to ago-misreporting.Chapter VI contains the summary of the findings from this research investigation together with a brief discussions on the directions for future lines of research.I am grateful to the Indian Statistical Institute (ISI), Calcutta for adapting my application for registration for its Ph. D. degree a an external candidate and providing me with the opportunity of preparing this dissertation for the said degree at IIPS, Bombay where I am working as a lecturer.I wish to express my profound sense of gratitude to my guide Dr. K. Srinivasan, Director, International Institute for Population Studies (IIPS), Bombay for his valuable comments and suggestions, constant encouragement, inspiration and above all his affection te moral support which helped me in completing this work.


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Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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