2013/11/15 by Karthik Bharath, Bharath, Karthik
Mathematics · #FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST) #math.PR #math.ST #stat.TH
paper · pdf · doi:10.48550/arxiv.1311.3998
arxiv created 2013/11/15 · arxiv updated 2013/11/19
A univariate clustering criterion for stationary processes satisfying a β-mixing condition is proposed extending the work of \citeKB2 to the dependent setup. The approach is characterized by an alternative sample criterion function based on truncated partial sums which renders the framework amenable to various interesting extensions for which limit results for partial sums are available. Techniques from empirical process theory for mixing sequences play a vital role in the arguments employed in the proofs of the limit theorems.