Add to ORKGthe Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper derives a procedure for determining the expectations of order statistics associated with the standard normal distribution Z and its powers of order three and five Z3 and Z5. The procedure is demonstrated for sample sizes of n ≤ 9. It is shown that Z3 and Z5 have expectations of order statistics that are functions of the expectations for Z and can be expressed in terms of explicit elementary functions for sample sizes of n ≤ 5. For sample sizes of n 6, 7 the expectations of the order statistics for Z, Z3, and Z5 only require a single remainder term. 1
Recurrence relationships among the distribution functions of order statistics of independent, but no...
We begin by introducing the concept of order statistics and finding the density of the rth order sta...
In this article, a class of distributions is used to establish several recurrence relations satisfie...
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc...
This paper derives a procedure for determining the expectations of order statistics associated with ...
The expected values of normal order statistics have hitherto been expressed in terms of elementary f...
The expected values of the distribution of the sample range of order statistics from the geometric d...
Statistical methods based on nonparametric and distribution-free procedures require the use of order...
Median and range of a random sample are measures based on order statistics which are descriptive of ...
This paper investigates the order statistics based on the moment-generating function for the General...
In recent times, the role of statistical methods based on order statistics has become more and more ...
If n independent values are drawn from some distribution and ordered from smallest to largest, the R...
This paper presents a statistic for testing a complete sample for normality. The test statistic is d...
Lognormal distributions are one of the most commonly studied models in the sta tistical literature ...
The expected values of the distribution of the sample range of order statistics from the geometric d...
Recurrence relationships among the distribution functions of order statistics of independent, but no...
We begin by introducing the concept of order statistics and finding the density of the rth order sta...
In this article, a class of distributions is used to establish several recurrence relations satisfie...
the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc...
This paper derives a procedure for determining the expectations of order statistics associated with ...
The expected values of normal order statistics have hitherto been expressed in terms of elementary f...
The expected values of the distribution of the sample range of order statistics from the geometric d...
Statistical methods based on nonparametric and distribution-free procedures require the use of order...
Median and range of a random sample are measures based on order statistics which are descriptive of ...
This paper investigates the order statistics based on the moment-generating function for the General...
In recent times, the role of statistical methods based on order statistics has become more and more ...
If n independent values are drawn from some distribution and ordered from smallest to largest, the R...
This paper presents a statistic for testing a complete sample for normality. The test statistic is d...
Lognormal distributions are one of the most commonly studied models in the sta tistical literature ...
The expected values of the distribution of the sample range of order statistics from the geometric d...
Recurrence relationships among the distribution functions of order statistics of independent, but no...
We begin by introducing the concept of order statistics and finding the density of the rth order sta...
In this article, a class of distributions is used to establish several recurrence relations satisfie...