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Arc tan-exponential type distribution induced by stereographic projection / bilinear transformation on modified wrapped exponential distribution. (English) Zbl 1278.60029

Summary: In this paper we make an attempt to construct a new three parameter linear model, we call this new model “arc tan-exponential type distribution”, by applying stereographic projection or equivalently bilinear transformation on wrapped exponential distribution, probability density and cumulative distribution functions of this new model are presented and their graphs are plotted for various values of parameters.

MSC:

60E05 Probability distributions: general theory
62H11 Directional data; spatial statistics

Software:

circular; CircStats
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Full Text: DOI

References:

[1] 1. Abramowitz, M.& Stegun, I.A. (1965), Handbook of Mathematical Functions, Dover, New York. · Zbl 0171.38503
[2] 2. Dattatreya Rao, A.V., Ramabhadra Sarma, I. and Girija, S.V.S. (2007), “On Wrapped Version of Some Life Testing Models”, Comm Statist, - Theor.Meth. , 36, issue # 11, pp.2027-2035. · Zbl 1122.62046
[3] 3. Dattatreya Rao, A.V., Girija, S.V.S., Phani. Y. (2011), “Differential Approach to Cardioid Distribution”, Computer Engineering and Intelligent Systems, Vol 2, No.8, pp. 1-6.
[4] 4. Girija, S.V.S., (2010), Construction of New Circular Models, VDM - VERLAG, Germany.
[5] 5. Jammalamadaka S. Rao and Sen Gupta, A. (2001), Topics in Circular Statistics, World Scientific Press,Singapore. · Zbl 1006.62050
[6] 6. Mardia, K.V. and Jupp, P.E. (2000), Directional Statistics, John Wiley, Chichester. · Zbl 0935.62065
[7] 7. Minh, Do Le and Farnum, Nicholas R. (2003), “Using Bilinear Transformations to Induce Probability Distributions”, Communication in Statistics - Theory and Methods, 32, 1, pp. 1 - 9. · Zbl 1025.62003
[8] 8. Ramabhadrasarma, I. A.V.Dattatreya Rao and S.V.S.Girija (2009), “On Characteristic Functions of Wrapped Half Logistic and Binormal Distributions”, International Journal of Statistics and Systems, Volume 4 Number 1, pp. 33-45.
[9] 9. Ramabhadrasarma, I. A.V.Dattatreya Rao and S.V.S.Girija (2011), On Characteristic Functions of Wrapped Lognormal and Weibull Distributions, Journal of Statistical Computation and Simulation, Vol. 81, No. 5, 579-589. · Zbl 1221.62084
[10] 10. S.Rao Jammalamadaka and Tomasz J. Kozubowski, (2001), “A Wrapped Exponential Circular Model”, Proc. Of AP Academy of Sciences, Vol.5, No.1,pp. 43-56.
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