Estimation method of series system reliability degree lower confidence limit of exponential distribution

A technology of exponential distribution and confidence lower limit, which is applied in computing, electrical digital data processing, special data processing applications, etc., and can solve problems such as difficult calculations, weak research, and poor engineering practicability

Inactive Publication Date: 2013-07-24
BEIHANG UNIV
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Problems solved by technology

[0004] The evaluation results obtained by the accurate method of system reliability evaluation have good statistical properties, but such methods are difficult to calculate and not very practical in engineering. Therefore, it is of great significance to explore accurate methods

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  • Estimation method of series system reliability degree lower confidence limit of exponential distribution
  • Estimation method of series system reliability degree lower confidence limit of exponential distribution
  • Estimation method of series system reliability degree lower confidence limit of exponential distribution

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Embodiment Construction

[0083] See Figure 1-Figure 3 , the present invention proposes a method for estimating the lower confidence limit of the reliability of a series system whose units obey the exponential distribution for the more common random censored samples in engineering applications. The specific implementation methods are as follows:

[0084] It is known that an electronic product is composed of 3 electronic units connected in series, which are denoted as units A, B, and C. Random censorship tests are carried out on the units produced in the same batch as the 3 units, and 10 units are randomly selected for unit A, and 12 units for unit B. For the life test of unit A, remove 3 unfailed units A when the first part fails, and remove 2 units when the second and third parts fail. For the unfailed unit, the failure and censored data recorded sequentially during the test are shown in Table 1-3. Assuming that the life of the three units obeys the exponential distribution, try to calculate the reli...

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Abstract

The invention provides an estimation method of a series system reliability degree lower confidence limit of exponential distribution. The estimation method comprises eight steps. The estimation method comprises the following steps: deducing belief distribution of each unit failure rate lambada i in a system based on belief, obtaining a composition structural relationship of the system from a failure rate angle according to features of the exponential distribution, and an obtaining system failure rate upper limit on the condition that confidence level is given through a Monte Carlo method to obtain the system reliability degree lower confidence limit which is paid special attention on engineering. An accurate method of solving the series system reliability degree lower confidence limit of location lifetime obedience exponential distribution is provided, calculation is simple and convenient, a data filling algorithm is given with regard to random censored data, and a usable range is expanded.

Description

technical field [0001] The invention relates to a method for estimating the lower confidence limit of the series system reliability of exponential distribution, which can accurately estimate the lower confidence limit of the reliability of the series system whose unit life obeys the exponential distribution, and is applicable to related fields such as reliability evaluation and reliability verification. Background technique [0002] The life of an electronic product generally obeys an exponential distribution, and for a certain unit of an electronic product whose life obeys an exponential distribution, it is often shown as a random censored sample in engineering, and it is difficult to estimate a reliability function for such an incomplete sample, so the present invention Estimation of reliability function for random censored samples has very important practical significance. [0003] Electronic products usually contain multiple units. At present, there are LM method and MML...

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Application Information

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IPC IPC(8): G06F19/00
Inventor 杨军吴胜娜赵宇
Owner BEIHANG UNIV
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