A New Family of Semicircular and Circular Arc Tan-Exponential Type Distributions

Phani Yedlapalli, S.V.S. Girija, A.V. Dattatreya Rao, Sastry K. L. N

Abstract


In this paper, an attempt is made to construct a new family of two parameter semicircular model, we call this as Semicircular Arc Tan-Exponential Type distribution, by applying simple projection on Arc Tan-Exponential Type distribution ([Y. Phani, S.V.S. Girija, A.V.D. Rao, Arc Tan-Exponential Type distribution induced by stereographic projection/ bilinear transformation on modified wrapped exponential distribution, Journal of Applied Mathematics, Statistics and Informatics (JAMSI) 9 (1) (2013) 69--74]) for modeling semicircular data, probability density and cumulative distribution functions of said model are presented and their graphs are plotted for various values of parameters. It is extended to the  $l$-axial Arc Tan-Exponential Type distribution by simple transformation for modeling any arc of arbitrary length.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2020 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|