Which of the following is NOT considered as a property of a good estimator?
Correlation
A good estimator should have the properties of consistency (producing estimates that get closer to the true value as the sample size increases), unbiasedness (on average, the estimator should equal the true value), and efficiency (providing the smallest variance among all unbiased estimators). Correlation is not a property of a good estimator.
The ______ is an unbiased estimator of the population mean.
If xi = i / 5 + 2, where i = 1, 2,..., 5, then the mean of x1, x2, ..., x5 is:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the E(XY = 2) is equal to:
On fitting of a trend line Y = a + bt on a time series (with year as a unit of time), the monthly increment/decrement is given by:
If M: Mean, Md: Median, Mo: Mode, Q1: First Quartile and Q3: Third Quartile, then which of the following is an absolute measure of skewness?
For a two-way classification with p treatments, q blocks and r observations per cell, the degrees of freedom for error and total, respectively, are:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the distribution of Z = X + Y is:
Which of the following is NOT true about ungrouped frequency distribution?
The relative frequency of a class is:
Let \( X \) follow Poisson distribution with mean \( \lambda \). If \[P(X = 2) = \frac{1}{2} P(X = 3),\] then the value of \( \lambda \) is:
The ______ is an unbiased estimator of the population mean.
If xi = i / 5 + 2, where i = 1, 2,..., 5, then the mean of x1, x2, ..., x5 is:
Let X and Y be two independent Poisson variates with rate 5 and 10, respectively, then the E(XY = 2) is equal to:
On fitting of a trend line Y = a + bt on a time series (with year as a unit of time), the monthly increment/decrement is given by:
If M: Mean, Md: Median, Mo: Mode, Q1: First Quartile and Q3: Third Quartile, then which of the following is an absolute measure of skewness?