# Question: With reference to Example 10 3 find an unbiased estimator of

With reference to Example 10.3, find an unbiased estimator of d based on the smallest sample value (that is, on the first order statistic, Y1).

Example 10.3

If X1, X2, . . . , Xn constitute a random sample from the population given by

Show that is a biased estimator of ∂.

Example 10.3

If X1, X2, . . . , Xn constitute a random sample from the population given by

Show that is a biased estimator of ∂.

**View Solution:**## Answer to relevant Questions

On 12 days selected at random, a city’s consumption of electricity was 6.4, 4.5, 10.8, 7.2, 6.8, 4.9, 3.5, 16.3, 4.8, 7.0, 8.8, and 5.4 million kilowatt- hours. Assuming that these data may be looked upon as a random ...Data collected over a number of years show that when a broker called a random sample of eight of her clients, she got a busy signal 6.5, 10.6, 8.1, 4.1, 9.3, 11.5, 7.3, and 5.7 percent of the time. Assuming that these ...Records of a university (collected over many years) show that on the average 74 percent of all incoming freshmen have I.Q.’s of at least 115. Of course, the percentage varies somewhat from year to year, and this variation ...Use the result of Exercise 11.15 to show that when n1 = n2 = n, we can be at least (1 – a) 100% confident that the error that we make when using θ1 – θ2 as an estimate of θ1 – θ2 is less than e when Use the modification suggested in Exercise 11.26 to rework Exercise 11.21, given that there are 900 sixth graders in the school district.Post your question