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Geometric Distribution
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Journal Article
Demography (1970) 7 (3): 349–360.
Published: 01 August 1970
...H. Majumdar; Mindel C. Sheps Abstract In order to study distributions of fecundability, Potter and Parker fitted a Pearson Type I geometric distribution (with parameters a and b ) to data from the Princeton Fertility Study. They, and subsequently other authors, estimated a and b from the observed...
Journal Article
Demography (1972) 9 (2): 249–255.
Published: 01 May 1972
...S. N. Singh; T. Bhaduri Abstract The duration of time between two successive births or between marriage and first birth is an indicator of the level of fertility of a couple. Potter and Parker (1964) and Singh (1961, 1967) have suggested the Type I Geometric as a distribution appropriate...
Journal Article
Demography (1975) 12 (2): 291–301.
Published: 01 May 1975
... that fecundability among women varies according to a Beta distribution (with parameters a and b ), the distribution of conception times in a truncated population can be considered as truncated Type I geometric. This paper presents an algorithm to obtain the moment and maximum likelihood estimates of a and b from...
Journal Article
Demography (1975) 12 (4): 645–660.
Published: 01 November 1975
... of a Type 1 Geometric Distribution from Observations on Conception Times . Demography , 7 , 349 – 360 . 10.2307/2060154 Matsumoto S. , Nogami Y. , & Ohkuri S. ( 1962 ). Statistical Studies on Menstruation . Gunma Journal of Medical Science , 11 , 294 – 318 . Potter...
Journal Article
Demography (1976) 13 (1): 37–44.
Published: 01 February 1976
... of a Type I Geometric Distribution from Observations on Conception Times . Demography , 7 , 349 – 360 . 10.2307/2060154 Potter R. G. , & Parker M. P. ( 1964 ). Predicting the Time Required to Conceive . Population Studies , 18 , 99 – 116 . 10.2307/2172634 Sheps Mindel...
Journal Article
Demography (1977) 14 (4): 455–479.
Published: 01 November 1977
... of this puzzling finding has two parts: first, that if the frequency distribution of couples by additional number of expected children were geometric, then the result would fol- low; second, why this frequency distribu- tion is, in fact, geometric. I will take these two parts up in that order. Suppose...
Journal Article
Demography (1971) 8 (4): 481–490.
Published: 01 November 1971
... of pregnancy is fixed for still- births and live births (9 and 10 lunar months); it is a random variable as de- scribed below for foetal deaths. The gestation interval preceding a foe- tal death is geometrically distributed. Twenty-four per cent of conceptions end in foetal deaths. The program causes...
Journal Article
Demography (1994) 31 (3): 403–426.
Published: 01 August 1994
... and Prevalence of Marriage.” In Social Change and the Family in Taiwan , edited by A. Thornton and H.-S. Lin. Chicago: University of Chicago Press. Majumdar H. , & Sheps M.C. ( 1970 ). Estimators of a Type I Geometric Distribution from Observations on Conception Waits . Demography , 7...
Journal Article
Demography (1978) 15 (1): 87–98.
Published: 01 February 1978
...- tributed uniformly between °and 1 are generated successively until a random number less than p (the fecund ability of the particular woman) is obtained. In this way, a geometric distribution of times to conception is simulated, if p is constant, as it is taken to be until the woman reaches age 30. After...
Journal Article
Demography (1987) 24 (3): 413–430.
Published: 01 August 1987
... three major efforts to describe lengths of amenorrhea: (1) Barrett's (1969) modified Pascal distribution, (2) Lesthaeghe and Page's (1980) logit model, and (3) Potter and Kobrin's (1981) mixed geometric negative binomial model. Realistic models are needed to adjust the distorted data prevalent in most...
Journal Article
Demography (1989) 26 (3): 451–465.
Published: 01 August 1989
..., the number of children in a family has a geometric distribution such that f(k) = p(1 - p)k-l, (1) where f(k) is the probability of having k children. When M > I, f(k) becomes a negative binomial distribution such that f(k) = 0 when k < M when k 2: M, (2) where k-ICk-M stands for the number of combinations...
Journal Article
Demography (1984) 21 (3): 405–412.
Published: 01 August 1984
... hierarchical sys- tems. In addition, it is convenient that frequency distributions for the more nu- merous areal units have been tabulated (Craig, 1980) and as an administrative hierarchy of areal units, there is an alter- native independent geometric one of grid squares as well. The results of the calcu...
Journal Article
Demography (1989) 26 (4): 711–716.
Published: 01 November 1989
... variable. The purged rates from this new method are invariant to changes in the marginal distribution of composition, but those from the earlier purging method are not. Mathematical relationships between the proposed method and other techniques are also explored. 13 1 2011 © Population...
Journal Article
Demography (1993) 30 (1): 81–102.
Published: 01 February 1993
... of a Type I Geometric Distribution from Observations on Conception Times . Demography , 7 , 349 – 60 . 10.2307/2060154 Mange Arthur ( 1964 ). Growth and Inbreeding of a Human Isolate . Human Biology , 36 , 104 – 33 . McNeilly, Alan S., Peter W. Howne, and Mary J. Houston. 1980...
Journal Article
Demography (1971) 8 (4): 507–517.
Published: 01 November 1971
... by our choice of h and the predictability of anovulatory length by the choice of k, once given h. Consider now three cases. If k = 1, the Pascal distribution reduces to a geometric distribution with the result that and u2 = h2 - h. In this case of minimal predictability of anovulation, only the first...
Journal Article
Demography (2013) 50 (3): 881–902.
Published: 21 February 2013
... words, each is a vector of measurements on the covariates available for period p . We allow information from the past up to to be contained in . In particular, we assume that the duration times follow a geometric distribution, with the parameter related to the covariates. Focusing...
FIGURES
Journal Article
Demography (2000) 37 (2): 193–201.
Published: 01 May 2000
... the geometric mean and loss functions. Unfortunately the geometric mean is problematic because the logarithmic transformation does not always yield a distribution that has optimal symmetry. Loss functions re- main an intriguing possibility, although, as Bryan (1999) ac- 200 DEMOGRAPHY, VOLUME 37-NUMBER 2, MAY...
Journal Article
Demography (1982) 19 (1): 79–95.
Published: 01 February 1982
... for this analysis. THE EFFECTS OF A SINGLE SEPARATION ON BIRTHS AVERTED Parameter Assignments The algebra of section 2 pertaining to single separations requires that two dis- crete probability distributions be speci- fied. To represent nonsusceptible peri- ods associated with fetal losses, the truncated geometric...
Journal Article
Demography (1997) 34 (1): 1–15.
Published: 01 February 1997
...S. Jay Olshansky; Bruce A. Carnes Abstract In 1825 British actuary Benjamin Gompertz made a simple but important observation that a law of geometrical progression pervades large portions of different tables of mortality for humans. The simple formula he derived describing the exponential rise...
Journal Article
Demography (1970) 7 (4): 393–399.
Published: 01 November 1970
...- ier to use mathematically and that can also be directly applied to discrete age- distributions into 1- and 5-year classes. The method presented here seemsto meet these requirements. THE SYSTEM OF FORMULAE l; for one-year age groups The 1-year probability of survival, p = 1- q may be written lex + 1...
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