Distribution of closed birth intervals with some biosocial components: A stochastic model and its application

References

• Abul‐ata , M. F. and Suchindran , C. M. 1987 . “ Truncation bias in the first two moments of birth intervals according to data ascertainment method ” . In American Statistical Association, Proceedings of the Social Statistics Section 532 – 535 . San Francisco
   Google Scholar
• Agrawala , S. N. 1966 . Some Problems of India's Population , Bombay : Vora .
   Google Scholar
• Bhattacharya , B. N. and Singh , K. K. 1986 . A probability model for interior birth interval and its application . Canadian Studies in Population , 13 : 167 – 180 .
   Google Scholar
• Bongaarts , J. 1975 . A method for the estimation of fecundability . Demography , 12 : 645 – 660 .
   PubMed Web of Science ®Google Scholar
• Chakrabarty , K. C. 1976 . Some probability distributions for birth intervals , Varanasi, , India : Banaras Hindu University . doctoral thesis
   Google Scholar
• Chiang , C. L. 1968 . Introduction to Stochastic Processes in Biostatistics , New York : Wiley .
   Google Scholar
• Das Gupta , P. 1973 . A stochastic model of human reproduction: some preliminary results . Tlieoretical Population Biology , 4 : 466 – 490 .
   PubMedGoogle Scholar
• D'Souza , S. 1973 . Inter‐live birth intervals of non‐contracepting population—a data analytic study . Social Action , 23 : 404 – 425 .
   Google Scholar
• George , A. and Mathai , A. M. 1975 . A generalised distribution for inter‐live birth intervals . Sankhya , 37B : 332 – 342 .
   Google Scholar
• Henry , L. 1972 . On the Measurement of Human Fertility , Edited by: Sheps , Mindel C. and Lapierre‐Adamcyk , E. New York : Elsevier .
   Google Scholar
• Majumdar , H. and Sheps , M. C. 1970 . Estimates of Type I geometric distribution from observations on conception times . Demography , 7 : 348 – 360 .
   Google Scholar
• Menken , J. A. and Sheps , M. C. 1972 . “ Sampling frame as a determinant of observed distributions of duration variables ” . In Population Dynamics , Edited by: Graville , T. N. E. 57 – 87 . New York : Academic Press .
   Google Scholar
• Mishra , R. N. 1982 . Some stochastic models and their utility to describe birth interval data , Varanasi, , India : Banaras Hindu University . doctoral thesis
   Google Scholar
• Mishra , R. N. , Pandey , A. and Singh , K. K. 1983 . A generalised probability distribution for closed birth interval . Health and Population—Perspectives & Issues , 6 : 36 – 45 .
   Google Scholar
• Mode , C. J. 1985 . Stochastic Processes in Demography and Their Computer Implementation , Berlin : Springer‐Verlag .
   Google Scholar
• Mode , C. J. and Littman , G. S. 1975 . An age‐parity dependent stochastic model of human reproduction . Mathematical Biosciences , 25 : 1 – 24 .
   Google Scholar
• Pandey , A. 1981 . “ A study of some probability models for birth intervals ” . Varanasi, , India : Banaras Hindu University . doctoral thesis
   Google Scholar
• Pandey , A. 1982 . “ On the estimates of the risk of conception from closed birth interval data ” . In Proceedings of the Seminar on Recent Development in the Techniques of Demographic Analysis and Statistical Inference , Edited by: Singh , S. N. 7 – 14 . Varanasi : Banaras Hindu University .
   Google Scholar
• Pandey , A. and Sastry , V. S. June 1983 . A probability distribution for interlive birth interval, Seminar on Probability and Statistical Inference , June , 23 – 25 . University of Poona .
   Google Scholar
• Pathak , K. B. 1983 . An extension of a probability model for closed birth interval . Health and Population—Perspectives & Issues , 6 : 133 – 142 .
   Google Scholar
• Pathak , K. B. and Pandey , A. March 1986 . Application of a stochastic model to ascertain truncation bias in closed birth interval distribution, All India Seminar on Stochastic Modelling and Decision Making , March , 27 – 30 . Department of Mathematical Statistics, University of Delhi .
   Google Scholar
• Pathak , K. B. and Sastry , V. S. 1983 . A modified stochastic model for closed birth interval . Journal of Mathematical Sociology , 9 : 155 – 163 .
   PubMed Web of Science ®Google Scholar
• Perrin , E. B. and Sheps , M. C. 1964 . Human reproduction process: a stochastic process . Biometrics , 20 : 28 – 45 .
   Web of Science ®Google Scholar
• Poole , K. 1973 . Fertility measures based on birth interval data . Tlieoretical Population Biology , 4 : 357 – 387 .
   PubMed Web of Science ®Google Scholar
• Potter , R. G. and Parker , M. P. 1964 . Predicting the time required to conceive . Population Studies , 18 : 99 – 116 .
   Web of Science ®Google Scholar
• Potter , R. G. , New , M. L. , Wyon , J. B. and Gordon , J. E. 1965 . “ Applications of field studies to research on the physiology of human reproduction: lactation and its effect upon birth intervals in eleven punjab villages, India ” . In Public Health and Population Change , Edited by: Sheps , M. C. and Ridley , J. C . 377 – 399 . Pittsburgh : University of Pittsburgh Press .
   Google Scholar
• Sheps , M. C. Use of stochastic models in the evaluation of population policies: I. Theory and approaches to data analysis . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics . Vol. 4 , pp. 115 – 136 .
   Google Scholar
• Sheps , M. C. and Menken , J. A. 1972 . Distribution of birth intervals according to the sampling frames . Theoretical Population Biology , 3 : 1 – 26 .
   PubMed Web of Science ®Google Scholar
• Sheps , M. C. and Menken , J. A. 1973 . Mathematical Models of Conception and Birth , Chicago : University of Chicago Press .
   Google Scholar
• Sheps , M.C and Perrin , E. B. 1964 . The distribution of birth intervals under a class of stochastic fertility models . Population Studies , 17 : 321 – 331 .
   Web of Science ®Google Scholar
• Sheps , M. C. , Menken , J. A. , Ridley , J. C. and Lingner , J. W. 1970 . Truncation effect in closed and open birth interval data . Journal of the American Statistical Association , 65 : 678 – 693 .
   PubMed Web of Science ®Google Scholar
• Singh , K. K. 1983 . “ Some analytical models for couple fertility and their applications ” . Varanasi, , India : Banaras Hindu University . Doctoral thesis
   Google Scholar
• Singh , S. N. 1964 . On the time of first birth . Sankhya , 26B : 95 – 102 .
   Google Scholar
• Singh , S. N. and Bhaduri , T. On the pattern of postpartum amenorrhea . Proceedings of All India Seminar on Demography and Statistics . Varanasi. Edited by: Singh , S. N. pp. 284 – 298 . Banaras Hindu University .
   Google Scholar
• Singh , S. N. , Bhattacharya , B. N. , Pandey , A. and Mishra , R. N. 1983 . A parity dependent model for closed birth intervals . Journal of the Indian Statistical Association , 21 : 67 – 72 .
   Google Scholar
• Singh , S. N. , Bhattacharya , B. N. and Yadava , R. C. On some distributions for couple fertility and their applications . Proceedings of All India Seminar on Demography and Statistics . Edited by: Singh , S. N. pp. 76 – 94 . Varanasi : Banaras Hindu University .
   Google Scholar
• Singh , S. N. , Bhattacharya , B. N. and Yadava , R. C. 1974 . A parity dependent model for number of births and its application . Sankhya , 36B : 93 – 102 .
   Google Scholar
• Singh , S. N. , Yadava , R. C. and Pandey , A. 1979 . On a probability model for closed birth intervals . Health and Population—Perspectives and Issues , 2 : 224 – 230 .
   Google Scholar
• Srinivasan , K. 1966 . An application of a probability model to the study of interlive birth intervals . Sankhya , 28B : 175 – 182 .
   Google Scholar
• Srinivasan , K. 1980 . Birth interval analysis in fertility surveys . World Fertility Survey, Scientific Report , series no. 7
   Google Scholar
• Suchindran , C. M. and Lachanbruch , P. A. 1974 . Estimates of parameters in a probability model for first live birth interval . Journal of the American Statistical Association , 69 : 507 – 513 .
   PubMed Web of Science ®Google Scholar
• Swanson , D. A. 1986 . Timing of the second birth: fecundability models for selected race and age group in Hawaii . Jansamkhya , 4 : 81 – 113 .
   PubMedGoogle Scholar
• Vanketacharya , K. 1969 . Certain implications of short marital durations in the analysis of live birth intervals . Sankhya , 31B : 53 – 78 .
   Google Scholar
• Wyon , J. B. and Gordon , J. E. 1971 . The Khanna Study: Population Problems in IV‐th Rural Punjab , Cambridge, MA : Harvard University Press .
   Google Scholar