Formula Sheet

Formula Sheet - Formula Sheet Constant Force of Mortality...

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Unformatted text preview: Formula Sheet Constant Force of Mortality F(x) : xQO zl‘efiflx = lie—m SOC) = xpo = 8—“ Iqo : ’qx :1-e‘w fpo : 1px : e—M "Iqu = e~yn(1_e—mn) a o 1 1 2 E[X] = E[T(x)] = 60 = ex = — Var[X] = Var[T(x)] = [—j #1 # m(x) : ~ln(0.5) "mx 2 y ,u 211 = ’u 1~—e‘("+6)" — : ’u E = e—(#+6)n XII—1| :l n x _ 1 ax = (#+5) 13 — =13 1—41 = Var L = ’u (4:) (mg) # ( ) fl+26 =1 2 0 _ -(#x+/{v)r tpxy _ e (j) (j)_lux . (r) tx _ (s) rqx x November 20, 2010 Formula Sheet DeMoivre’s Law or Uniform x 1 x F(x)=xqo=— f(x)=— S(x)=xpo=1*~— (0 a) a) l‘ t m 1%: = 1px =1— nlqu = w—x wax m—x E[X]—; 41 Var[X]—“’—2 " 2 12 o _ _ 2 E[T(x)]=ex = a) x Var[T(x)]= ($123“) w—x 2 1 m x = m =—————— x = = am = w—‘x HEX : ‘ co~x m—x w—x w—x—_ 67*: ' (0—906 2(0—x—y—2t 21‘ , OStSmin(a)~x,a)—y) quy(t) 2 #37“) = (w‘xxw‘y) (w—xxw—JO-f2 November 20, 2010 ...
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Formula Sheet - Formula Sheet Constant Force of Mortality...

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