Asimptoticheskiy analiz yadernykh otsenok, svyazannykh so srednim znacheniem

V nastoyashchey monografii rassmatrivayutsya zadachi postroeniya i issledovaniya novykh statisticheskikh yadernykh otsenok funktsionalov ot raspredeleniy v sluchae polnykh i nepolnykh nablyudeniy, a takzhe v sluchae butstrep vyborok. V ney prodelan podrobnyy asimptoticheskiy analiz svoystv yadernykh otsenok funktsionalov svyazannykh so srednimi znacheniyami raspredelenii. V monografii privodyatsya sleduyushchie rezul'taty:dokazatel'stvo approksimatsionnykh rezul'tatov dlya empiricheskikh protsessov po polnym i butstrep vyborkam; nakhozhdenie asimptoticheskikh razlozheniy dlya chislovykh kharakteristik yadernykh otsenok funktsii srednego ostatochnogo vremeni bezotkaznoy raboty (FSOVBR); gaussovskie approksimatsii yadernykh otsenok FSOVBR po povtornym i butstrep vyborkam; poluparametricheskoe yadernoe otsenivanie veroyatnosti bezotkaznoy raboty (Ve BR) v informativnoy modeli sluchaynogo tsenzurirovaniya s dvukh storon i issledovanie asimptoticheskikh svoystv otsenok; postroenie i issledovanie asimptoticheskikh svoystv yadernykh otsenok FSOVBR i krivoy Lorentsa v modelyakh sluchaynogo tsenzurirovaniya sprava i s dvukh storon s ispol'zovaniem stepennykh otsenok Ve BR.