An experiment to estimate Weibull parameters produced the following data: 10 exact times of failure at...

 

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An experiment to estimate Weibull parameters produced the following data: 10 exact times of failure at t₁, t₂,. t10; ;5 more failures in the readout interval (0, T₁); and 7 more failures between T₁ and T₂. The mixture of exact times and readout times came about because two test chambers were used, only one of which had continuous monitoring capability. The chamber with exact failure times ended test at time T₂, with 10 unfailed units. The other chamber also ended test at time T2, with 8 unfailed units. Write the equation for likelihood function. How would the likelihood function change if you learned that the failure at time t, was caused by a chamber mishap, and not by the failure mechanism under investigation? An experiment to estimate Weibull parameters produced the following data: 10 exact times of failure at t₁, t₂,. t10; ;5 more failures in the readout interval (0, T₁); and 7 more failures between T₁ and T₂. The mixture of exact times and readout times came about because two test chambers were used, only one of which had continuous monitoring capability. The chamber with exact failure times ended test at time T₂, with 10 unfailed units. The other chamber also ended test at time T2, with 8 unfailed units. Write the equation for likelihood function. How would the likelihood function change if you learned that the failure at time t, was caused by a chamber mishap, and not by the failure mechanism under investigation?

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The Weibull distribution is commonly used to model the failure times of mechanical or electronic dev... View the full answer