R K Sinha
A Thought on Exotic Statistical Distributions
49 - 52
2012
6
1
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/7670
https://publications.waset.org/vol/61
World Academy of Science, Engineering and Technology
The statistical distributions are modeled in explaining
nature of various types of data sets. Although these distributions are
mostly unimodal, it is quite common to see multiple modes in the
observed distribution of the underlying variables, which make the
precise modeling unrealistic. The observed data do not exhibit
smoothness not necessarily due to randomness, but could also be due
to nonrandomness resulting in zigzag curves, oscillations, humps
etc. The present paper argues that trigonometric functions, which
have not been used in probability functions of distributions so far,
have the potential to take care of this, if incorporated in the
distribution appropriately. A simple distribution (named as, Sinoform
Distribution), involving trigonometric functions, is illustrated in the
paper with a data set. The importance of trigonometric functions is
demonstrated in the paper, which have the characteristics to make
statistical distributions exotic. It is possible to have multiple modes,
oscillations and zigzag curves in the density, which could be suitable
to explain the underlying nature of select data set.
Open Science Index 61, 2012