On Some Inequalities of Chernoff–Borovkov–Utev Type for Circular Distributions



We discuss some classical inequalities such as Wirtinger inequality and weighted Wirtinger type inequality for 2π-periodic functions and study their applications for obtaining Chernoff–Borovkov–Utev type inequalities for probability distributions with support [0, 2π]. In addition we derive Chernoff type inequalities for the wrapped normal distribution and von-Mises distribution.


Continuous Function Probability Density Function Fisher Information Type Inequality Logarithmic Sobolev Inequality 
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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of HyderabadHyderabadIndia

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