08-25-2020, 12:09 PM
An extract from Final Report for ONR Grant N00014-76-C-0695, Office of Naval Research, Attachment D, HP-97 Programs for the Computation of Maximum Likelihood Estimates for the Parameters of the Mixed Exponential Distribution, AUG 1977, 6 pgs
" Attachment D
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As the solution of H(ß)=0 can only be attained by iterative methods, programs for the HP-97 have been developed which allow the user to compute ß^ and â for a test of not over twenty items. The first program, A, will test the sufficient conditions for the solution. The second program, B, will use interval halving to approximate ß^ the solution of H(ß) = 0 , accurate to within an error of 0.0001. The third program, C, will use this ß^ to approximate â.
These programs will allow the mixed exponential model to be used as extensively as the exponential model in applications of reliability theory …
…
BEST!
SlideRule
" Attachment D
…
As the solution of H(ß)=0 can only be attained by iterative methods, programs for the HP-97 have been developed which allow the user to compute ß^ and â for a test of not over twenty items. The first program, A, will test the sufficient conditions for the solution. The second program, B, will use interval halving to approximate ß^ the solution of H(ß) = 0 , accurate to within an error of 0.0001. The third program, C, will use this ß^ to approximate â.
These programs will allow the mixed exponential model to be used as extensively as the exponential model in applications of reliability theory …
…
BEST!
SlideRule