On the Extreme Values and Range of Samples from Non-Normal Populations

Order Statistics from Nonnormal Populations

“…The value of E(x2) is easily obtainable from (13) using the values of Singh (1967 , Tables 1 a-d) for IV+i. Table 1, apart from the normal theory term, gives the coefficients of A3, A4 and A2 only, for p = 1(1) 4 and n = 4(1) 10.…”

“…Further, as we have taken into account only the terms up to A;, the approximation will further improve by the inclusion of A5, A3 A4 and A3 terms (Singh, 1967(Singh, , 1970. Gupta (1960) for XI (v = 6 and 10).…”

“…= n (;1 )E(-. For r = 1 and n, the coefficients of A's in (1.4) have been tabulated by Singh (1967). Subrahmaniam (1969) has derived the first four terms of (1.4) and found it quite difficult to find the moments of the order statistics other than the extremes.…”