Tail Probabilities: Cumulative Distribution Function: Asymptotic Lower Bounds

EasyChair Preprint 15588, version 2

Abstract

In  this  research  paper, motivated  by the Chebyshev inequality  and  its

              generalizations,  we  derive  interesting  “asymptotic  lower  bounds” ( as the  “sample” 

              size  tends to  infinity )  on  the  commom  cumulative  distribution  function  evaluated               

              at a positive real number.  We  expect  more  results  of  such  nature  to  be  discovered

             and  proved.

Keyphrases: Chebyshev inequality, Euler Constant, Markov Inequality, Tail Probabilities, asymptotic lower bound

@booklet{EasyChair:15588,
  author    = {Rama Murthy Garimella},
  title     = {Tail  Probabilities: Cumulative  Distribution  Function: Asymptotic  Lower  Bounds},
  howpublished = {EasyChair Preprint 15588},
  year      = {EasyChair, 2025}}