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Dattatreya Rao, A. V.
- On the Rising Sun Wrapped Lognormal and the Rising Sun Wrapped Exponential Models
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Authors
Affiliations
1 Department of Statistics, Acharya Nagarjuna University, Guntur-522510.(A.P)., IN
2 Department of Mathematics, Hindu College, Guntur – 522003 (A.P)., IN
3 Department of Statistics, V.K.R, V.N.B and A.G.K. College of Engineering, Gudivada, (A.P)., IN
1 Department of Statistics, Acharya Nagarjuna University, Guntur-522510.(A.P)., IN
2 Department of Mathematics, Hindu College, Guntur – 522003 (A.P)., IN
3 Department of Statistics, V.K.R, V.N.B and A.G.K. College of Engineering, Gudivada, (A.P)., IN
Source
International Journal of Statistics and Analysis, Vol 3, No 1 (2013), Pagination: 1-10Abstract
Circular distributions play a vital role in varied fields in various problems related to origin of comets, birds navigational problems Kendall (1974), Schmidt - Koeing, (1963), paleomagnetic currents Jammalamadaka and Sen Gupta (1972), Fuller et al (1996), variation in the onset of leukaemia Hrushesky(1994), Morgan(1990), wind directions Breckling(1989), angle of knee flexion to assess the recovery of orthopaedic patients Rao et al (1986), occurrence of flight accidents and colour images Hanbury(2003). In the literature most of the available circular models were constructed by wrapping a linear model. In recent years some wrapped models were constructed by Dattatreya Rao et al (2007). A new method of generation of circular models is developed by Girija (2010) based on the Rising Sun function. Here an attempt is made to construct the Rising Sun Wrapped Lognormal and the Rising Sun Wrapped Exponential models and also to study the characteristics of the same.Keywords
Circular Model, Trigonometric Moments, The Rising Sun Function, Wrapped Lognormal Distribution, Wrapped Exponential Distribution, Characteristics
References
- Breckling, J. (1989), The Analysis of Directional Time Series: Applications to Wind Speed and Direction, Springer Verlag, New York.
- Dattatreya Rao, A.V., Ramabhadra Sarma, I. & Girija, S.V.S. (2007) OnWrapped Version of Some Life Testing Models, to appear in Communicationin Statistics –Theory and Methods , 36,# issue 11.
- Fuller, M., Laj, C. & Herrero – Bervera, E. (1996), The reversal of the earth's magnetic field , Amer. Sci., 84, 552-561.
- Girija, S.V.S. (2010), Construction of New Circular Models ,ISBN 978-3- 639-27939-9 VDM Verlag Dr. Müller GmbH & Co. KG.
- Hanbury, A. 2003, Circular statistics applied to colour images. 8th Computer Vision Winter Workshop.
- Hrushesky, W. J. M., (1994), Circadian Cancer Therapy, CRC Press, Boca Raton.
- Jammalamadaka S. Rao & Sen Gupta, S. (1972), Mathematical Techniques for Paleocurrent Analysis: Treatment of Directional Data, Journal of intl Assoc.Geol, 4, 235 – 258.
- Jammalamadaka S. Rao & Sen Gupta, A. (2001), Topics in Circular Statistics,World Scientific Press, Singapore.
- Kendall, D.G. (1974), Pole – Seeking Brownian Motion and bird navigation, J. Roy. Statist. Soc., 36, 365 – 417.
- Mardia, K.V. (1972), Statistics of Directional Data, Academic Press, NewYork.
- Mardia, K.V. & Jupp, P.E. (2000), Directional Statistics, John Wiley, Chichester.
- Morgan, E., (1990), Chronobiology and Chronomedicine, Peter Lang, Frankfurt.
- 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.
- 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 .
- Rao, J.S., Bhadra, N., Chaturvedi, D., Kutty, T.K., Majumdar, P.P., and Poduval, G. (1986), Functional assessment of knee and ankle during levelwalking, Data Analysis in Life Science, 21 – 54, Indian Statistical Institute, Calcutta, India.
- Schmidt – Koeing, K. (1963), On the role of loft, the distance and site of release in Pigeon homing (the "cross – loft experiment"), Biol. Bull., 125, 154– 164.
- Vaan Rooij,A.C.M. and Schikof,W.H. (1982),A Second Course on Real Functions, Cambridge University Press, Cambridge.
- Robust Seed Selection Algorithm for K-Means Type Algorithms
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PDF Views:130
Authors
Affiliations
1 Department of Computer Applications, Rayapati Venkata Ranga Rao and Jagarlamudi Chadramouli College of Engineering, Guntur, IN
2 Jawaharlal Nehru Technological University, Kakinada, IN
3 Department of Statistics, Acharya Nagarjuna University, Guntur, IN
4 Endocrine and Diabetes Centre, Andhra Pradesh, IN
1 Department of Computer Applications, Rayapati Venkata Ranga Rao and Jagarlamudi Chadramouli College of Engineering, Guntur, IN
2 Jawaharlal Nehru Technological University, Kakinada, IN
3 Department of Statistics, Acharya Nagarjuna University, Guntur, IN
4 Endocrine and Diabetes Centre, Andhra Pradesh, IN
Source
AIRCC's International Journal of Computer Science and Information Technology, Vol 3, No 5 (2011), Pagination: 147-163Abstract
Selection of initial seeds greatly affects the quality of the clusters and in k-means type algorithms. Most of the seed selection methods result different results in different independent runs. We propose a single, optimal, outlier insensitive seed selection algorithm for k-means type algorithms as extension to k-means++. The experimental results on synthetic, real and on microarray data sets demonstrated that effectiveness of the new algorithm in producing the clustering results.Full Text