TY - RPRT TI - Goodness-of-fit criteria based on test statistics {omega}{sub n}{sup 3} = n{sup 3/2} {sub -{infinity}} integral {sup {infinity}} [S{sub n}(x) - F(x)]{sup 3}dF(x). Investigation of power of one-sided criterion for large n; Kriterii soglasiya, osnovannye na proverochnoj statistiks {omega}{sub n}{sup 3} = n{sup 3/2} {sub -{infinity}} integral {sup {infinity}} [S{sub n}(x) - F(x)]{sup 3}dF(x); Issledovanie moshchnosti odnostoronnego kriteriya dlya bol`shikh n AB - The main properties of new integral nonparametric goodness-of-fit criterion {omega}{sub n}{sup 3} for large emperical samples sizes are considered. Its comparison with familiar {omega}{sub n}{sup 2} criterion and with Watson`s criterion U-bar (connected with another integral criterion {omega}{sub n}{sup 1}) in frames of Chapman`s approach for n=50, 200 and 1000 was performed. For alternative hypotheses, minimizing the power, an advantage of the {omega}{sub n}{sup 3} in a sufficient broad range of significance level a and, what is specially important for practical applications, for small values was shown. It was also shown that for hypotheses, maximizing the power, the Watson`s criterion has a slight advantage over {omega}{sub n}{sup 3} criterion. The analytical expressions allowing to evaluate the power of {omega}{sub n}{sup 3} criterion for arbitrary one-sided alternative hypotheses are presented. 9 refs.; 5 figs. AU - "Zrelov, P V" AU - "Ivanov, V V" KW - "99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE" KW - "CHAPMAN-KOLMOGOROV EQUATION" KW - "ANALYTICAL SOLUTION" KW - "STATISTICS" KW - "DISPERSION RELATIONS" KW - "DISTRIBUTION FUNCTIONS" KW - "MONTE CARLO METHOD" KW - "SIMULATION" KW - "990200" KW - "MATHEMATICS AND COMPUTERS" DO - https://doi.org/ UR - PB - CY - JINR PY - 1992 DA - 1993-12-31 LA - Russian J2 - [] VL - C1 - Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Computing Techniques and Automation C2 - C3 - JINR-R-11-92-409 C4 - C5 - OSTI; NTIS (US Sales Only); INIS L3 - Other Information: PBD: 1992 ER -