#### DMCA

## Approved by: Advisor (1973)

### Citations

8 | Pregnancy wastage as a factor in the analysis of fertility data - Sheps - 1964 |

6 | The distribution of births in human population - Brass - 1958 |

6 | The Natural History of Population. - Pearl - 1939 |

6 |
Probability models for the variation in the number of births per couple
- Singh
- 1963
(Show Context)
Citation Context ...58), Singh (1963 and 1964), Sheps et al (1969), Pathak (1966) and Singh and llilattacharya (1970). The modifications include relaxation of some of Dandekar's assumptions such as Singh's modification (=-=Singh, 1963-=- and 1964) which assumes that the woman may not be exposed to the risk of17 conception during the observation period, because of periods husband is not living with his wife, with probability (I-a.), ... |

6 | A generalized probability distribution for couple fertility, Biometrics - Singh, Bhattacharya - 1970 |

5 | Factors in human fertility and their statistical evaluation. Lancet 222,607–611 - Pearl - 1933 |

5 | Applications of field studies to research on the physiology of human reproduction: Lactation and it's effects upon birth intervals in eleven Punjab villages, India - Potter, New, et al. - 1965 |

4 | Renewal Theory Methuen's Monographs on Applied Probability and Statistics - Cox - 1962 |

4 | The Record Of Family Planning - Freedman, Berelson - 1976 |

4 | The trend and pat- tern of fertility in great britain: A report on the family census of 1946 - Class, Grebenik - 1954 |

4 | Introduction to Mathematical Statistics, the Mac Millan Company - Hogg, Craig - 1965 |

4 | Length of the fertile period - Potter - 1961 |

4 | A Model for Studying Birth Rates Given Time Dependent Changes in Reproductive Parameters - Sheps, Menkin - 1971 |

4 | A Probability Model for Couple Fertility - Singh - 1964 |

3 | Certain modified forms of binomial and Poisson distributions - Dandekar - 1955 |

3 | Pregnancy outcome and the time required for next conception - JAIN - 1969 |

3 | On the time required for conception - Sheps - 1964 |

2 | Premieres Recherches sur la fecundabilite de fa Femme - Gini - 1924 |

2 | Observations on the relation between frequency and timing of intercourse and probability of conception - Glasser, Lachenbruch - 1968 |

2 | Fecondite et fami11e - models mathematiques - Henry |

2 |
Estimators of a type I geometric distribution from observations on conception times
- Majumdar, Sheps
- 1970
(Show Context)
Citation Context ...ly to become acceptors in the family planning program studied. Although Jain (1969a) showed that the model used fits the data, the same model was found not to fit other data (Potter and Parker, 1964; =-=Majumdar and Sheps, 1970-=-). Moreover, Jain's conclusions are based on a comparison of estimates of the mean fecundability at time of marriage rather than time of acceptance. Thus, the differences found in the fecundabilities ... |

2 | A probability distribution for the number of conceptions - Pathak - 1966 |

2 | Estimating fecundability of the currently married woman from data on her susceptibility status - A Cohort Approach - Pathak - 1971 |

2 | Length of the observation period as a factor affecting the contraceptive failure rate," Milbank Memorial Fund -Quarterly - Potter - 1960 |

2 |
Application of probability models to the study of human reproduction
- Sheps
- 1965
(Show Context)
Citation Context ...live births data rather than conception data. Under the above assumption of constant fecundabi1ity, the estimate of mean fecundabi1ity of women conceiving in months 1 to m after marriage is given by (=-=Sheps, 1965-=-) F = m N 1 - N m + 1 m I N i i=l (1.2.1.1) where N k is the proportion of women conceiving in the k-th month, k=1,2, ••• ,m+1. As was shown by Sheps (1965), Gini's estimate is not always unbiased. Ho... |

2 | Characteristics of a ratio used to estimate failure rates: Occurences per person year of exposure - Sheps - 1966 |

2 | On the person years concept in epidemiology and demography - Sheps - 1966 |

2 | Estimators of Parameters in Biological Models of Human Fertility - Suchindran - 1972 |

1 |
Fondements theoriques des mesures de 1a fecondite naturel1e," Revue de l
- Henry
- 1953
(Show Context)
Citation Context ...mes constant fecundability for all women and that all women are fecund at their143 marriage. Under these assumptions, the month of first conception, y, is distributed geometrically with parameter p (=-=Henry 1953-=-). In this case, the MLEof p is given by, (equation 1.2.4.2~ of Chapter I) " 1 P = co y where y is the mean month of first conception in the sample. It should be noted that the MLE of p, the arithmeti... |

1 | Fecondite et fami1le - models mathematiques," App1icanurneriques - Henry |

1 |
Relative fecundability of users and non-users of contraception
- Jain
- 1969
(Show Context)
Citation Context ...tervals following a live birth pregnancy were very low (about 1.0 month). Empirical evidence suggests that interpregnancy intervals following live births are longer than those following fetal losses (=-=Jain 1969-=-b). This result is thought to reflect the relatively longer postpartum period following a live birth due to lactation or other factors (Jain 1967). Use of the minimum length of pregnancy interval as t... |

1 |
Post partum amenarrhea in Indian women
- Jain
- 1967
(Show Context)
Citation Context ...maximizing L(p). This model is based on highly simplified assumptions. It is known that not all pregnancies lead to a live birth. It is also found, from empirical studies (e.g. Potter el a1, 1965 and =-=Jain 1967-=-), that, even when one considers only those pregnancies that ended in a live birth, the length of infecundab1e periods is not constant. This length is found to be· dependent upon lactation and surviva... |

1 | Estimates of fecundability," Population Studies - James - 1963 |

1 | Sorant, "Applicatio~s of POPREP , A modification of POPSIM - Lachenbruch, Sheps, et al. - 1972 |

1 |
Predicting the time required to can"" ceive
- Potter, Parker
- 1964
(Show Context)
Citation Context ...undability were more likely to become acceptors in the family planning program studied. Although Jain (1969a) showed that the model used fits the data, the same model was found not to fit other data (=-=Potter and Parker, 1964-=-; Majumdar and Sheps, 1970). Moreover, Jain's conclusions are based on a comparison of estimates of the mean fecundability at time of marriage rather than time of acceptance. Thus, the differences fou... |

1 | Probability mddels for family building - An analytical review - Sheps, Menken, et al. - 1969 |

1 |
Maximum-likelihood estimators for the parameters of a continuous time model for first conception
- Singh, Bhaduri
- 1972
(Show Context)
Citation Context ...b and the value obtained is then used to calculate a from equation (1.2.4.25). A The components of the asymptotic variance-covariance matrices of a, b, ~ and ~ are given by the following expressions (=-=Singh and Bhaduri, 1972-=-) V(a) = a(a-l)2(a-2) (a2 -a+b) N(a-3) (a-4) (1.2.4.27)28 V(b') =0 222 b a(a-l) (a -3a+4) N(a-2) (a-3) (a-4) , (1.2.4.28) 2 2 cov(a,b) • ba(a-l) (a -2a+4) N(a-3) (a-4) (1.2.4.29) (1.2.4.30) ,.. 1 2 2... |