On Non Asymptotic Expansion of the MME in the Case of Poisson Observations

التفاصيل البيبلوغرافية
العنوان: On Non Asymptotic Expansion of the MME in the Case of Poisson Observations
المؤلفون: Chernoyarov, O. V., Dabye, A. S., Diop, F. N., Kutoyants, Yu. A.
سنة النشر: 2020
المجموعة: Mathematics
Statistics
مصطلحات موضوعية: Mathematics - Statistics Theory, 62M05, 62G05, 62G20
الوصف: The problem of parameter estimation by observations of inhomogeneous Poisson processes is considered. The method of moments estimator is studied and its stochastic expansion is obtained. This stochastic expansion is then used to obtain the expansion of the moments of this estimator and the expansion of the distribution function. The stochastic expansion, expansion of the moments and the expansion of distribution function are non asymptotic in nature. Several examples are considered.
Comment: 25 pages, 1 figure
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2010.07612
رقم الأكسشن: edsarx.2010.07612
قاعدة البيانات: arXiv