EXACT AND APPROXIMATE INFERENCES FOR AN EXPONENTIAL MEAN FROM TYPE I CENSORED DATA | Zendy

Takayuki Abe | Zendy; Manabu Iwasaki | Zendy

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EXACT AND APPROXIMATE INFERENCES FOR AN EXPONENTIAL MEAN FROM TYPE I CENSORED DATA

Author(s) -

Takayuki Abe,

Manabu Iwasaki

Publication year - 2005

Publication title -

bulletin of informatics and cybernetics

Language(s) - English

Resource type - Journals

eISSN - 2435-743X

pISSN - 0286-522X

DOI - 10.5109/12589

Subject(s) - mathematics , statistics , exponential family , exponential function , exponential distribution , type (biology) , mathematical analysis , biology , ecology

We will consider statistical inferences for an exponential mean from Type I right censored data. Most inferential procedures developed so far are conditional in the sense that they can be used only when the number of observed lifetime data is at least one. One of our aims of the present article is to remove this restriction to allow zero observed frequency. An expression for exact unconditional probability calculus is given. Our second aim is to evaluate some approximate procedures by using the exact formula whether or not they give sensible numerical values.

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