population variance उदाहरण वाक्य
उदाहरण वाक्य
- If the random variable X represents samples generated by a continuous distribution with probability density function f ( x ), then the population variance is given by
- In other words, the expected value of the uncorrected sample variance does not equal the population variance " ? " 2, unless multiplied by a normalization factor.
- where " S " 1 2 and " S " 2 2 are the usual unbiased ( Bessel-corrected ) estimates of the two population variances.
- For example, when " n " = 1 the variance of a single observation about the sample mean ( itself ) is obviously zero regardless of the population variance.
- Notice that the unknown population variance ? 2 does not appear in " T ", since it was in both the numerator and the denominator, so it canceled.
- When Rochelle became a founding member of the Western Sun, the NCIC began shifting members trying to keep together a conference that was built of schools with inordinately large population variances.
- Hence \ scriptstyle \ sigma _ y ^ 2 gives an estimate of the population variance that is biased by a factor of \ frac { n-1 } { n }.
- For example, robust estimators of scale are used to estimate the population variance or population standard deviation, generally by multiplying by a scale factor to make it an scale parameter : estimation.
- For example, the MAD of a sample from a standard Cauchy distribution is an estimator of the population MAD, which in this case is 1, whereas the population variance does not exist.
- Suppose it were known that the two population variances are equal, and samples of sizes " n " 1 and " n " 2 are taken from the two populations: