Về so sánh ngẫu nhiên của thống kê bậc tối thiểu từ gia đình phân phối vị trí-tỷ lệ

Springer Science and Business Media LLC - Tập 81 Số 2 - Trang 105-123 - 2018
Hazra, Nil Kamal1, Kuiti, Mithu Rani2, Finkelstein, Maxim1,3, Nanda, Asok K.4
1Department of Mathematical Statistics and Actuarial Science, University of the Free State, Bloemfontein, South Africa
2Department of Operations Management, Indian Institute of Management Calcutta (IIMC), Kolkata, India
3ITMO University, Saint Petersburg, Russia
4Department of Mathematics and Statistics, Indian Institute of Science Education and Research (IISER) Kolkata, Mohanpur, India

Tóm tắt

Chúng tôi xem xét các so sánh ngẫu nhiên của các thống kê bậc tối thiểu từ gia đình phân phối vị trí-tỷ lệ, bao gồm hầu hết các phân phối tuổi thọ phổ biến. Dưới một số giả định nhất định, chúng tôi chỉ ra rằng thống kê bậc tối thiểu của một tập hợp biến ngẫu nhiên sẽ chiếm ưu thế so với thống kê bậc tối thiểu của một tập hợp biến ngẫu nhiên khác theo các thứ tự ngẫu nhiên khác nhau. Hơn nữa, chúng tôi minh họa các kết quả của mình bằng cách sử dụng một số phân phối cụ thể nổi tiếng.

Từ khóa

#so sánh ngẫu nhiên #thống kê bậc tối thiểu #phân phối vị trí-tỷ lệ #phân phối tuổi thọ #thứ tự ngẫu nhiên

Tài liệu tham khảo

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