EDA 2 Flashcards
A way to avoid this is to report the
estimate in terms of a range of plausible values called a
confidence interval.
estimate for μ is an interval of the form l ≤ μ ≤
u, where the end-points l and u are computed from the sample data.
confidence interval
The end-points or bounds l and u are called the lower- and upper-
confidence limits (bounds), respectively, and 1 − α
confidence coefficient.
The appropriate statement is that the observed interval [l, u] brackets the true
value of μ with
confidence
is used extensively in the fi elds of reliability
engineering and communications technology because it has been shown
to be an excellent model for many of the kinds of problems encountered.
exponential distribution
is a special
case of a more general result. Suppose that θ is a parameter of a probability
distribution, and let Θ̂ be an estimator of θ.
large-sample confidence interval
a random sample from a normal distribution with
unknown mean μ and unknown variance σ
2
.
t Distribution
for capturing at least γ% of the values in a normal
distribution with confidence level 100(1– α)% is
tolerance interval