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(R code needed) Lifetimes of electronic components manufactured by an electronic company are assumed to follow...

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Statistics

(R code needed) Lifetimes of electronic components manufacturedby an electronic company are assumed to follow an Exp(λ)distribution with mean 1/λ. A random sample of 30 lifetimes inyears was obtained and shown below: 5.1888 3.6757 4.5091 7.13201.3711 1.6454 2.1979 3.8805 0.5290 2.3796 3.2840 3.6678 0.68367.9914 12.9922 2.6192 0.3593 5.0234 0.2240 7.5862 0.1172 0.06182.6203 16.2319 17.2107 0.8101 8.9368 2.0752 0.9925 1.0187

The data can also be found in life2018.csv.

(a) Find the moment estimate of λ. [4 points]

(b) Find the MLE of λ. Does the MLE match the moment estimate?[4 points]

(c) Let Sλ(2) = exp(−2λ) denote the survival function at time y= 2. Find the MLE of Sλ(2). [4 points]

(d) Find the moment estimate of Sλ(2). [4 points]

Answer & Explanation Solved by verified expert
4.2 Ratings (654 Votes)
The life times rae exponentially dostributed a The moment estimate ofis    See Answer
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