Noninformative Statistical Models: An Alternative Proof of the Cram´er–Rao Inequality under Random Censoring
Bog‘liqsiz tasodifiy miqdorlar juftligi tomonidan hosil qilingan o‘ng tomondan tasodifiy
senzuralangan model va unga mos ravishda kuzatiladigan minimumlar hamda senzuralanish
indikatorlaridan iborat tanlanma ko‘rib chiqiladi. Senzuralanish taqsimoti informativ bo‘lmagan
hol uchun baholanuvchi parametrga doir Fisher informatsiyasi chiqariladi va Cramer-Rao quyi
chegarasining boshqacha isboti keltiriladi. Isbot senzuralangan tanlanmaning haqiqatga o‘xshashlik
funksiyasiga Koshi–Bunyakovskiy (Koshi–Shvarts) tengsizliklarini bevosita qo‘llashga asoslanadi,
bunda ba’zi regulyarlik shartlari bajarilishi talab qilinadi.
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