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Actuarial Studies Volume 2

Actuarial Studies Volume 2


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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1922 edition. Excerpt: ...Laws and Statistics" published by John Wiley & Sons, Inc. 32 It will be seen that the use of gx assumes that the exact duration method has been used. If nearest or mean durations are employed the withdrawals take place at integral ages and gx becomes zero for all values of x. In order to carry out this formula, the information may be recorded on one sheet similar to the following. The cards would be sorted by the mode of entrance corresponding to columns (1) and (2), if they were not already so separated because of their different years of issue. Each set of cards would then be sorted by age at entrance into the observations and the totals for each age recorded. The next step would be to sort them all in accordance with the mode of exit and then by age at exit. In tabulating the number of withdrawals at age x we shall have the sum of the fractional exposures, gx, to tabulate also if the exact duration method was used. If, however, we tabulate the expression (wx + gx-i--gx) in column (4), the value of column (7) will be (wx + 0x-i--gx + ex + 0x-i), which is the quantity that enters negatively in equation (1). This method of tabulating might be described as assuming that, of the wx withdrawals at completed age x, we consider gx as withdrawn at age x + 1 and wx--gx at age x. A separate sheet or column might be provided for recording the values of gx and of /x-i--gx. It will be noticed that this latter value may be negative, in which cases its absolute value is deducted from wx. Where select tables are to be constructed the exposed to risk must be tabulated for each age at issue separately and the formulae become i i i t-i Ex+t = nx + 5x+i--Zwx+i + 0x+i-- x+i-- 0X+ 10 10 and--Wm+i+i + (gX+t+i--gx+t)--ex+i+i--0x+t (2) where...


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Product Details
  • ISBN-13: 9781234369729
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 24
  • Spine Width: 1 mm
  • Width: 189 mm
  • ISBN-10: 1234369729
  • Publisher Date: 22 Jan 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 64 gr


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