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Problems of Optimal Equal Interval of Exponential Distribution Based on Grouped Data

Zhang De-ran

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Abstract

Based on the methods of grouped sample which is included in non-completed samples,when the data which have lost efficacy obeyed to the exponential distribution,we analyze the result of the experiments with two given accelerated stresses.This essay discusses the problem of the equal interval in the experiments while it is satisfied with the minimal asymptotic variance of the logarithm of mean life time reached.

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Based on the methods of grouped sample which is included in non-completed samples,when the data which have lost efficacy obeyed to the exponential distribution,we analyze the result of the experiments with two given accelerated stresses.This essay discusses the problem of the equal interval in the experiments while it is satisfied with the minimal asymptotic variance of the logarithm of mean life time reached.

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Available abstract

Based on the methods of grouped sample which is included in non-completed samples,when the data which have lost efficacy obeyed to the exponential distribution,we analyze the result of the experiments with two given accelerated stresses.This essay discusses the problem of the equal interval in the experiments while it is satisfied with the minimal asymptotic variance of the logarithm of mean life time reached.

Key concepts: Logarithm, Mathematics, Exponential function, Exponential distribution, Interval (graph theory), Distribution (mathematics), Variance (accounting), Statistics

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