Asian Journal of Mathematics & Statistics1994-54182077-2068Asian Network for Scientific Information10.3923/ajms.2010.25.32SaranJ.SinghS.K.1201031In this study, we derive some general identities among c.d.f.’s and single moments of order statistics by using Legendre polynomials in the interval [a,b]. These identities are then applied to obtain some new combinatorial identities. These results generalize some of the earlier results in this direction.]]>Arnold, B.C., N. Balakrishnan and H.N. Nagaraja,1992Balakrishnan, N. and K.S. Sultan,1998David, H.A. and H.N. Nagaraja,2003Joshi, P.C.,1973Joshi, P.C. and N. Balakrishnan,1981Joshi, P.C. and N. Balakrishnan,1982Joshi, P.C. and Shubha,1991Malik, H.J.,1967Riordan, J.,1968Sansone, G.,1959Saran, J. and N. Pushkarna,1996Saran, J. and N. Pushkarna,1998