Mortality Laws And Statistics
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Suppose, therefore, that we have the results of two censuses taken at the times h and t 2 counting from the beginning of the period and that the corresponding total populations are P3 and P 4 , also that the populations in the age group are APz and BP 4 .
Then, according to the assumptions already made, we have P 3 =r l 'P or log J P 3 = log J P +^ilogr, Pi=r t2 Po or log.P4=logPo + Mogr, (h-h) \ogr = \ogPi-\ogPz, logr = (logP4-logP 3 )/(fe-/i), ■ . . . ( S ) log P = log P 3 - h log r = (t 2 lo...g P 3 -h log Pi)f(k-h). (6) a+bh=A, a + bh=B, b(t 2 ~h) = (B-A), b = (B-A)/(h-ti), (7) a=A~bh = (t 2 A-t 1 B)/(h-h) (8) 97. The expression for the average population in the age group, when we substitute in Eq. (4) these values of a and b, takes the form CONSTRUCTION OF MORTALITY TABLES 55 p r-i \ hA~hB B-A l r i_ °log e r[ h~-h h-h\r-i log e r = Po r—i\faA A A ir 1 fa — h \r — i \og e r{fa — h fa — h\r—i log„r hB B I r fa — h fa~h\r—i log,, r -APj~ X \ h XogtrXfa — h fa-h\r—i loge r j I Bp r-i f i / r i \ h | , -v Since ^4P r (1 and BP r'° are the numbers shown in the two censuses for the age group in question, it follows that we obtain the average population for any age group by multi- plying the numbers shown in the two censuses by log, r [fa-h fa-h\r-i \og e r and -h r ~ x I T I r 1 \ h \og e r\fa-h\r-i log e r/ fa- respectively, and adding together the products.
What to read after Mortality Laws And Statistics?
You can find similar books in the "Read Also" column, or choose other free books by Robert Henderson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Suppose, therefore, that we have the results of two censuses taken at the times h and t 2 counting from the beginning of the period and that the corresponding total populations are P3 and P 4 , also that the populations in the age group are APz and BP 4 .
Then, according to the assumptions already made, we have P 3 =r l 'P or log J P 3 = log J P +^ilogr, Pi=r t2 Po or log.P4=logPo + Mogr, (h-h) \ogr = \ogPi-\ogPz, logr = (logP4-logP 3 )/(fe-/i), ■ . . . ( S ) log P = log P 3 - h log r = (t 2 lo...g P 3 -h log Pi)f(k-h). (6) a+bh=A, a + bh=B, b(t 2 ~h) = (B-A), b = (B-A)/(h-ti), (7) a=A~bh = (t 2 A-t 1 B)/(h-h) (8) 97. The expression for the average population in the age group, when we substitute in Eq. (4) these values of a and b, takes the form CONSTRUCTION OF MORTALITY TABLES 55 p r-i \ hA~hB B-A l r i_ °log e r[ h~-h h-h\r-i log e r = Po r—i\faA A A ir 1 fa — h \r — i \og e r{fa — h fa — h\r—i log„r hB B I r fa — h fa~h\r—i log,, r -APj~ X \ h XogtrXfa — h fa-h\r—i loge r j I Bp r-i f i / r i \ h | , -v Since ^4P r (1 and BP r'° are the numbers shown in the two censuses for the age group in question, it follows that we obtain the average population for any age group by multi- plying the numbers shown in the two censuses by log, r [fa-h fa-h\r-i \og e r and -h r ~ x I T I r 1 \ h \og e r\fa-h\r-i log e r/ fa- respectively, and adding together the products.
What to read after Mortality Laws And Statistics?
You can find similar books in the "Read Also" column, or choose other free books by Robert Henderson to read onlineMoreLess
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