tailieunhanh - Exploratory Data Analysis_11

Tham khảo tài liệu 'exploratory data analysis_11', kỹ thuật - công nghệ, điện - điện tử phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | . Weibull Distribution Survival Function The formula for the survival function of the Weibull distribution is exp rr7 rr 0 7 0 The following is the plot of the Weibull survival function with the same values of 7 as the pdf plots above. Inverse The formula for the inverse survival function of the Weibull distribution is Survival Function z p ln p lj 7 0 p l 7 0 The following is the plot of the Weibull inverse survival function with the same values of Y as the pdf plots above. http div898 handbook eda section3 5 of 7 5 1 2006 9 58 02 AM . Weibull Distribution Common Statistics The formulas below are with the location parameter equal to zero and the scale parameter equal to one. Mean where r is the gamma function Median Mode Range Standard Deviation Coefficient of Variation r a ịí ln 2 1 7 1 - ịr 7 1 0 7 1 Zero to positive infinity. Jr I - r l l 3 y y y http div898 handbook eda section3 6 of 7 5 1 2006 9 58 02 AM . Weibull Distribution Parameter Estimation Maximum likelihood estimation for the Weibull distribution is discussed in the Reliability chapter Chapter 8 . It is also discussed in Chapter 21 of Johnson Kotz and Balakrishnan. Comments The Weibull distribution is used extensively in reliability applications to model failure times. Software Most general purpose statistical software programs including Dataplot support at least some of the probability functions for the Weibull distribution. NIST SEMATECH HOME CtOOLS AIDS f EARCH l ACK NEXT http div898 handbook eda section3 7 of 7 5 1 2006 9 58 02 AM