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Abstract Details

Activity Number: 135
Type: Contributed
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #305143
Title: Maximum Spacing Estimation for Dependent Variables
Author(s): Bo Ranneby*+ and Kristi Kuljus
Companies: Swedish University of Agricultural Sciences and Swedish University of Agricultural Sciences
Address: SLU, UmeƄ, International, SE-90183, Sweden
Keywords: maximum spacing ; estimation ; Markov chains ; semi-Markov chains ; consistency
Abstract:

For independent and identically distributed univariate observations a new estimation method, the maximum spacing (MSP) method, was defined in Ranneby (Scand. J. Statist. 11 (1984)) and independently by Cheng and Amin (J. Roy. Statist. Soc. B 45 (1983)). The idea behind the method, as described by Ranneby (1984), is to approximate the Kullback-Leibler information so that each contribution is bounded from above. In the present paper, the MSP method is extended to Markov and semi-Markov chains with continuous time. Consistency of the MSP estimate is proved. Furthermore, the extension to m-dependent stationary processes is discussed.


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