The book Mortality Laws And Statistics was written by author Robert Henderson Here you can read free online of Mortality Laws And Statistics book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Mortality Laws And Statistics a good or bad book?
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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.
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