Problem regarding the unbiased estimator

Reference no: EM13985526

Let X1,..., Xn be a random sample from a population with the mean μ. What condition must be imposed on the constants c1, c2,..., cn so that c1X1 + c2X2 + ··· + cnXn is an unbiased estimator of μ?

Reference no: EM13985526

Questions Cloud

Accounts receivable-average collection period : In the most recent fiscal year, its sales were $18 million with $2,500,000 in after tax profits. Historically, the firm shipped out its goods with a 30 day pay period allowed, with no cash discount offered. In looking over the numbers, Beth (CEO) fel..

Investment be worth in either instrument : The bid quote on a corporate bond is $212; the ask is $215. You expect this bond to return its promised 15% per annum for sure. In contrast, T-bonds offer only 6% per annum but have no spread. If you have to liquidate your position in 1 month, what w..

Taxable bonds offer a rate of return : Consider a real estate project. It costs $1,000,000. Thereafter, it will produce $60,000 in taxable ordinary income before depreciation every year. Favorable tax treatment means that the project will produce $100,000 in tax depreciation write-offs ea..

Mean instead of the median : Even though both X and M are unbiased, the reason we usually use the mean instead of the median as the estimator of μ is that X has a smaller variance than M.]

Problem regarding the unbiased estimator : Let X1,..., Xn be a random sample from a population with the mean μ. What condition must be imposed on the constants c1, c2,..., cn so that c1X1 + c2X2 + ··· + cnXn is an unbiased estimator of μ?

Con?dence interval for the mean : Find a 98% con?dence interval for the mean P/E multiples. Interpret the result and state any assumptions you have made.

Random sample from a uniform distribution : Let X1,..., Xn be a random sample from a uniform distribution on [θ, θ + 1]. Find a 99% con?dence interval for θ, using an appropriate pivot.

Calculating a con?dence interval : 1. (a) Suppose we construct a 99% con?dence interval. What are we 99% con?dent about? (b) Which of the con?dence intervals is wider, 90% or 99%? (c) In computing a con?dence interval, when do you use the t-distribution and when do you use z, with nor..

Time between successive arrivals : Let X be a random variable representing the time between successive arrivals at a checkout counter in a supermarket. The values of X in minutes (rounded to the nearest minute) are

User Account

All Pages