{
"date" : "1993-12-31",
"identifier_doecontract" : "",
"subject" : "99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; CHAPMAN-KOLMOGOROV EQUATION; ANALYTICAL SOLUTION; STATISTICS; DISPERSION RELATIONS; DISTRIBUTION FUNCTIONS; MONTE CARLO METHOD; SIMULATION; 990200; MATHEMATICS AND COMPUTERS",
"description" : "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.",
"language" : "Russian",
"identifier_report" : "JINR-R-11-92-409",
"publisher_sponsor" : "",
"publisher_country" : "JINR",
"source" : "INIS; SCA: 990200; PA: AIX-25:007019; EDB-94:016807; ERA-19:007923; NTS-94:014839; SN: 94001126753",
"purl" : "",
"title" : "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",
"type" : "Technical Report",
"subject_related" : "",
"relation" : "Other Information: PBD: 1992",
"entry_date" : "2008-02-12",
"subject_list" : [ "99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE", "CHAPMAN-KOLMOGOROV EQUATION", "ANALYTICAL SOLUTION", "STATISTICS", "DISPERSION RELATIONS", "DISTRIBUTION FUNCTIONS", "MONTE CARLO METHOD", "SIMULATION", "990200", "MATHEMATICS AND COMPUTERS" ],
"publisher_availability" : "OSTI; NTIS (US Sales Only); INIS",
"rights" : "",
"announced_date" : "2005-06-30",
"type_qualifier" : "",
"has_fulltext" : false,
"coverage" : "",
"identifier" : "ON: DE94611059",
"creator" : "Zrelov, P V; Ivanov, V V",
"site_ownership_code" : "INIS",
"osti_id" : "10113109",
"resource_type" : "RPRT",
"format" : "Medium: X; Size: 22 p.",
"journal_name" : "",
"citation_location" : "https://www.osti.gov/etdeweb/biblio/10113109",
"publication_year" : 1992,
"subject_list_commas" : "99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE, CHAPMAN-KOLMOGOROV EQUATION, ANALYTICAL SOLUTION, STATISTICS, DISPERSION RELATIONS, DISTRIBUTION FUNCTIONS, MONTE CARLO METHOD, SIMULATION, 990200, MATHEMATICS AND COMPUTERS",
"publisher" : "",
"identifier_other" : "Other: ON: DE94611059; TRN: RU9305420007019",
"publisher_research" : "Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Computing Techniques and Automation",
"creators_list" : [ "Zrelov, P V", "Ivanov, V V" ],
"doi" : ""
}