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A New Look at Worst Case Complexity: A Statistical Approach

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  • Niraj Kumar Singh
  • Soubhik Chakraborty
  • Dheeresh Kumar Mallick

Abstract

We present a new and improved worst case complexity model for quick sort as , where the LHS gives the worst case time complexity, is the input size, is the frequency of sample elements, and is a function of both the input size and the parameter . The rest of the terms arising due to linear regression have usual meanings. We claim this to be an improvement over the conventional model; namely, , which stems from the worst case complexity for this algorithm.

Suggested Citation

  • Niraj Kumar Singh & Soubhik Chakraborty & Dheeresh Kumar Mallick, 2014. "A New Look at Worst Case Complexity: A Statistical Approach," International Journal of Analysis, Hindawi, vol. 2014, pages 1-10, December.
    • Handle: RePEc:hin:ijanal:840432
    DOI: 10.1155/2014/840432
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