{"title":"A Thought on Exotic Statistical Distributions","authors":"R K Sinha","country":null,"institution":"","volume":61,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":49,"pagesEnd":53,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/7670","abstract":"The statistical distributions are modeled in explaining\nnature of various types of data sets. Although these distributions are\nmostly uni-modal, it is quite common to see multiple modes in the\nobserved distribution of the underlying variables, which make the\nprecise modeling unrealistic. The observed data do not exhibit\nsmoothness not necessarily due to randomness, but could also be due\nto non-randomness resulting in zigzag curves, oscillations, humps\netc. The present paper argues that trigonometric functions, which\nhave not been used in probability functions of distributions so far,\nhave the potential to take care of this, if incorporated in the\ndistribution appropriately. A simple distribution (named as, Sinoform\nDistribution), involving trigonometric functions, is illustrated in the\npaper with a data set. The importance of trigonometric functions is\ndemonstrated in the paper, which have the characteristics to make\nstatistical distributions exotic. It is possible to have multiple modes,\noscillations and zigzag curves in the density, which could be suitable\nto explain the underlying nature of select data set.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 61, 2012"}