Abstract
The Burr type
X distribution function studied here,
F(
x;
θ) = (1 −
e
−
x
2
)
θ
, has shape parameter
θ > 0 and is defined for all real
x ≥ 0. In this paper, the exact form of the probability density function and moments of the
r
th-order statistic in a sample of size
n from
F are derived. Measures of skewness and kurtosis of the pdf for different choices of
r,
n, and θ are presented. Two types of estimators of location and scale parameters based on some observed order statistics have also been discussed.