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Computational Formula

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Journal Article
Demography (1977) 14 (4): 593.
Published: 01 November 1977
...Andrei Rogers; Jacques Ledent 16 1 2011 © Population Association of America 1977 1977 Life Table Business Research Spatial Dynamic Ment Life Computational Formula References Keyfitz , N. ( 1970 ). Finding Probabilities from Observed Rates or How to Make a Life...
Journal Article
Demography (2013) 50 (5): 1615–1640.
Published: 17 September 2013
.... 2000 ; Gakidou and King 2002 ; WHO 2000 ). In this article, we provide the first readily computable formulae for the sensitivities and elasticities of seven of the most commonly used indices to changes in age-specific mortality and, by extension, to any parameter(s) affecting age-specific...
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Includes: Supplementary data
Journal Article
Demography (1980) 17 (1): 103–114.
Published: 01 February 1980
...Kenneth W. Wachter Abstract Goldman (1978) has proposed a formula derived from stable population theory for estimating growth rates from certain counts of younger and older sisters in a population. Computer microsimulation outputs show extraordinarily large statistical errors for estimation when...
Journal Article
Demography (1968) 5 (1): 354–361.
Published: 01 March 1968
...) of 0.6332 with the life expectancy at one year, which is considerably below the hoped-for level of explained variance. (In view of the sex differential in mortal- ity, computations are always made sep- arately for each sex. Thus, "total popula- tion" in the formulas refers always to the total population...
Journal Article
Demography (1966) 3 (2): 528–536.
Published: 01 June 1966
...Nathan Keyfitz Summary The subject of interpolation and graduation is customarily treated by finite difference formulas of great variety and complexity, these having been developed with the convenience of hand calculation in mind. The cheapening of computation which has occurred in the past few...
Journal Article
Demography (2002) 39 (2): 287–310.
Published: 01 May 2002
...Carl P. Schmertmann Abstract I develop and demonstrate a simple formula for estimating age-specific event rates for a period from “before” and “after” cross sections. The general approach applies to a wide range of estimation problems in demography, the social sciences, and epidemiology. The method...
Journal Article
Demography (1988) 25 (2): 163–188.
Published: 01 May 1988
... be known without error, and it may therefore be important to compute the sampling variances and covariances of the model's parameters as well as those of other derived measures of interest. The development and presentation of the necessary statistical formulas for this purpose appear in Appendix A. A set...
Journal Article
Demography (1972) 9 (2): 249–255.
Published: 01 May 1972
... estimates, based on formulas which are too involved for solution without the help of a computer. Singh proposed a continuous probability distribution based on another set of assumptions for the above situation. He outlined a method to obtain best asymptotically normal estimates of the parameters...
Journal Article
Demography (2014) 51 (6): 2075–2102.
Published: 13 November 2014
... and is computed by use of the conditional survival probabilities γ a . We prefer to keep our formulation to preserve comparability with the formulas of expected longevity used in the later sections of the article. Due to the relatively small sample size of the HRS, we cannot use individuals born...
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Journal Article
Demography (1989) 26 (4): 717–726.
Published: 01 November 1989
... effects except the one under investigation. Another important point is that all weights are calculated directly from the observed frequencies. The computational formulas of the other conventional methods are developed from or related to Kitagawa's and hence not given here. They all use similar logic...
Journal Article
Demography (2021) 58 (2): 773–784.
Published: 01 April 2021
... to be estimated. The covariate model is represented sequentially, using the sequential ignorability assumption. The identity produces the so-called g (eneral)-computation formula: E ( Y ( T ) | T = t , X 0 = x 0 ) = ∫ E ( Y ( T ) | T = t ,   X ¯ = x ¯ ) P...
FIGURES
Journal Article
Demography (1967) 4 (1): 1–18.
Published: 01 March 1967
... and then summing the over-all SEA's. The people-miles of net movement in the X and Y directions were computed by the following two formulas: and where X Ni is the X-direction people-miles coordinate for the ith SEA, obtained by subtracting the number of people-miles of out-movement in the X direction (X Oi) from...
Journal Article
Demography (1992) 29 (2): 227–245.
Published: 01 May 1992
... factor on the difference in mean age at last birth, represents the shift in age at final birth that would occur if one cohort had the same PPRs to second and third births as did a second cohort. (We explain the computational formula for the decomposition in the appendix.) To simplify analysis, we...
Journal Article
Demography (1967) 4 (2): 464–478.
Published: 01 June 1967
... of deaths to any color-sex birth cohort (say, 4(1(55 to 4(1(60) may be estimated closely by summing the products of -tbese weights and the deaths in the corresponding age-at-death categories for each calendar year from 1955 through 1960. The computing formula may be written as follows: ~(55_60) =~ ~at where...
Journal Article
Demography (2000) 37 (2): 193–201.
Published: 01 May 2000
..., it is a cumbersome way to compute MAPE-R, and implemen- tation requires skills in statistical modeling that may tax many applied demographers. Fortunately the computational formula for the geometric mean suggests that MAPE-R also can be computed in a single mathematical operation. In the case of the geometric mean...
Journal Article
Demography (1964) 1 (1): 296–315.
Published: 01 March 1964
... are not available for the populations to be compared but data on their compositional structure can be obtained, the following formula is often used to compute a standardized rate by the so-called indirect method: I-std. rate (indirect) = c) c. (3 ) where n. defines the I-composition of the given n . population; c...
Journal Article
Demography (1982) 19 (2): 223–240.
Published: 01 May 1982
... equation, we obtain the simplified computation formula: IT(x+l),o = lw« . [exp{-Hüx} - expHox + H Ix = lw» . exp{-Hox} - lW(x+l)' 230 The second line of this equation repre- sents the difference between the number of persons in the weIl state at age x who survive death from noncancer causes by age x + 1...
Journal Article
Demography (1965) 2 (1): 429–443.
Published: 01 March 1965
..., may also be used in computing net migration rates by the formulas used with total populations -as presented above. However, in the case of cohorts already alive at the begin- ning of the period, none of the formulas would include B, representing births. SITUATION III: NET MIGRATION BY SURVIVAL RATE...
Journal Article
Demography (1966) 3 (1): 259–275.
Published: 01 March 1966
.... Este método évita las complejas operaciones matemáticas para reducir el polinomio a factores cuadrdticos y entonces resolver coda factor por la fórmula cuadrática. Los procedimientos son ilustrados solutionando la matriz de proyección para la población femenina total de los Estados Unidos en 1.968...
Journal Article
Demography (1965) 2 (1): 50–73.
Published: 01 March 1965
... of for- mulas.-Gross and net reproduction rates are conventionally computed from vital statistics for a single year by the well- known formulas: GRR=~Ma , NRR= ~Ma'Pa, where GRR = the gross reproduction rate; NRR = the net reproduction rate; Ma = an age-specific birth rate, or the number of daughters born...