Let us consider a random variable X is the element of U(0, a) so that a...

Let us consider a random variable X is the element of U(0, a) so that a has been obtained as a sample from a random variable A which follows a uniform distribution A is the element of U(0, l) with known parameter value l.

Estimates of a based on 1) the method of moments, 2) the method of maximum likelihood and 3) the Bayesian-based methods, respectively in R.

Read a data sample of r.v. X from the file sample_x.csv. Estimate a from such sample, knowing that l = 10.
i. Using only the first sample.
ii. Using only the first 5 samples.
iii. Using only the first 10 samples.
iv. Using all the samples.

sample_x.csv contains these numbers, please copy the numbers to excel file to write the estimators in R.

2.70251720663915
4.52533716919839
1.7231448657286
2.75834069244788
2.19003083976203
3.19190171690754
3.87230309952386
3.93239850995383
4.93477988922767
1.64963260015239
5.02497814716251
5.92375606054227
6.54048445225238
5.89274455816184
6.81183471748896
3.20217587502456
4.39968432805757
4.78356387178363
2.09551473182655
4.0451138126402
5.61321793564152
5.56420019695387
6.22983582402031
6.51275224747206
6.75733219590838

Please try at least for some estimators... Thank you :)

Solutions

Expert Solution

Then after using the above given estimators and importing data from Excel file in R

we can find the estimated as follows

milcah answered 2 days ago

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