The Beta Inverse Weibull distribution is one of the widely applied distribution. In reliability and biological studies, we can model failure rates by this distribution. In this paper, we extend the study of the Beta Inverse Weibull distribution (BIW). The unimodal BIW with three parameters are estimated by the Method of Quantile Estimates (MQE) and then compared with parameters estimated by the Maximum Likelihood Estimates (MLE). To estimate the model parameters, Newton-Raphson method is applied for MLE and Nelder-Mead Simplex method is applied for MQE and the table of simulation results is shown. Finally, practical use of the model is demonstrated by dint of an application to real data. For the real data computation, standard deviations of the estimated parameters are calculated by random permutation method.
- Page(s): 01-05
- Date of Publication: 06 October 2016
- Faysal SatterMinnesota State University, Mankato, MN 56002, USA.
- Mezbahur RahmanMinnesota State University, Mankato, MN 56002, USA
References
[1]. Castillo, E. and Hadi, A. S. (1995). A Method for Estimating Parameters and Quantiles of Distributions of Continuous Random Variables. Computational Statistics & Data Analysis. 20, 421-439. [2]. Cheng, R. C. H. and Amin, N. A. K. (1983). Estimating Parameters in Continuous Univariate Distributions with a Shifted Origin. Journal of Royal Statistical Society, Series B, 45(3), 394-403. [3]. Cheng, R. C. H. and Iles, T. C. (1987). Corrected Maximum Likelihood in Non-Regular Problems. Journal of Royal Statistical Society, Series B, 49(1), 95-101. [4]. Choi, S. C. and Wette, R. (1969). Maximum Likelihood Estimation of the Parameters of the Gamma Distribution and Their Bias. Technometrics, 11(4), 683-690. [5]. Dang, H. and Weerakkody, G. (2000). Bounds for the Maximum Likelihood Estimates in Two-Parameter Gamma Distribution. Journal of Mathematical Analysis and Applications, 245(1), 1-6. [6]. Evans, M., Hastings, N. and Peacock, B. (2000). Statistical Distributions, Third Edition. John Wiley & Sons, Inc., New York. [7]. Gusmao, F. R. S. de, Ortega, E. M. M and Cordeiro, G. M. (2011) The Generalized inverse Weibull Distribution". Springer-Verlag, Stat Papers (2011), 52:591-619, DOI 10.1007 [8]. Hanooka, S. Shahbaz, M. Q. Mohsin, and Kibria, B.M.G (2013). A Note On Beta Inverse-Weibull Distribution. Communications in Statistics - Theory and Methods, Volume 42, Number 2, Pages 320- 335. [9]. Harter, H. L. and Moore, A. H. (1965). Maximum Likelihood Estimation of the Parameters of Gamma and Weibull Populations from Complete and from Censored Samples. Technometrics, 7(4), 639-643. [10]. Jockovic, J. (2012). Quantile Estimation for the Generalized Pareto Distribution with Application to Finance. Yugoslav Journal of Operations Research, 22 (2012), Number 2, 297-311 [11]. Khan, M. S. (2010). The Beta Inverse Weibull Distribution. International Transactions in Mathematical Sciences and Computer, Volume 3, Number 1, Pages 113-119. [12]. Lee, E. T. (1992). Statistical Methods for Survival Data Analysis, Second Edition. John Wiley & Sons, Inc., New York. [13]. Mathews, J. H and Fink, K. K (2004). Numerical Methods Using Matlab. 4th Edition, Prentice-Hall Inc., New Jersey, USA. [14]. Pearson, L. M. and Rahman, M. (2008). Quantile Estimates in Two- Parameter Gamma Distributions. Journal of Statistical Research, 42(2) 141-149. [15]. Rahman, M. and Pearson, L. M. (2003). A Note on Estimating Parameters in Two-Parameter Pareto Distributions. International Journal of Mathematical Education in Science and Technology, 34(2), 298-306. [16]. Rahman, M. and Pearson, L. M. (2003). A Note on Estimating Parameters in the Two-Parameter Weibull Distribution. Journal of the Korean Data & Information Science Society, 14(4), 1091-1102. [17]. Schmidt, U. (1997). Percentile estimators for the three-parameter weibull distribution for use when all parameters are unknown. Communications in Statistics — Theory and Methods. 26(3), 765- 785.
Faysal Satter, Mezbahur Rahman "Estimating Beta Inverse Weibull Distribution by the Method of Quantile Estimates" International Journal of Research and Innovation in Applied Science -IJRIAS vol.1 issue 6, pp.01-05 2016
The purpose of the given publication is to give to civil specialists the information on accessible standards and reports in the field of EMP/HEMP which they can use at an estimation of danger of EMP for the power electrical and electronic equipment and development of means of protection.
- Page(s): 06-10
- Date of Publication: 06 October 2016
- Dr. Vladimir GurevichCentral Electric Laboratory, Israel Electric Corp., POB 10, Haifa 31000, Israel
References
No Reference
Dr. Vladimir Gurevich "EMP and Its Impact on Electrical Power System: Standards and Reports" International Journal of Research and Innovation in Applied Science -IJRIAS vol.1 issue 6, pp.06-10 2016
Antigonon leptopus (Polygonaceae) is an evergreen climber native to Mexico. The parts of this plant like seeds, tubers and flowers are consumed as food in several parts of the world. Tea prepared from aerial parts is used as a cold remedy and pain relief. The leaves are used for diabetes, urinary problems, low blood pressure and as a heart tonic. It also has Xanthine oxidase inhibitor and anticancer activity. Though pharmacogostic evaluation of other plant parts of Antigonon leptopus is already carried out, no standards are available for the leaf. The present study has been carried out for the authentication and to lay down the standards for the identification of the leaves. Therefore, the fresh leaves and dried powder is used for the microscopical, macroscopical, physicochemical and fluorescence analysis.
- Page(s): 11-14
- Date of Publication: 06 October 2016
- Sushma KumariDepartment of Pharmacognosy, Goa College of Pharmacy, 18th June Road, Panaji, Goa, India
- Anup DeshpandeDepartment of Botany, Goa University, Panaji, Goa, India
- Arun B JoshiDepartment of Botany, Goa University, Panaji, Goa, India
References
[1]. Aronoff, S., (1989). Geographic Information Systems: A Management Perspective. Ottawa: WDL Publications. [2]. Prajna., Srilakshmi, S., Priya, K., Sony.,Swarnalatha, S., Bhojaraju, P., Kanthal, L. K ., Satyavathi, K., (2015). GC-MS analysis and in-vitro cytotoxic activity of methanolic extract of Antigonon leptopus Hook. & Arn flowers. International Journal of Pharmaceutical Sciences and Research , 6.7, 3083-3087 [3]. Heinrich, M., (2000). Ethnobotany and its role in drug development. phytother res, 14,479 [4]. Battu, Gangarao; Raju, N. Jaya., (2009).Studies in preliminary phytochemical and antimicrobial activity of Antigonon leptopus Hook. & Arn Hook, International Journal of Chemical Sciences, 7(4), 2900-2904. [5]. Vanisree, Mulabagal; Alexander-Lindo, Ruby L.; DeWitt, David L.; Nair, Muraleedharan G., (2007).Functional food components of Antigonon leptopus Hook. & Arn tea, Food Chemistry 106(2), 487-492 [6]. Mulabagal Vanisree; Alexander-Lindo Ruby L; Dewitt David L; Nair Muraleedharan G., (2011). Health-Beneficial Phenolic Aldehyde in Antigonon leptopus Hook. & Arn Tea, Evidencebased complementary and alternative medicine : eCAM, 2011601249 [7]. Lans Cheryl A., (2006). Ethnomedicines used in Trinidad and Tobago for urinary problems and diabetes mellitus, Journal of ethnobiology and ethnomedicine, 245 [8]. Youwei ,Z., Maocheng, D., Yonghong P., (2014).The study of antioxidant activities of extracts from 19 edible flowers.springer plus PMCID:PMC4082252 [9]. Nair, Muraleedharan G.; Vanisree, Mulabagal; Alexander-Lindo, Ruby L.; Dewitt, David L., (2009).Method for inhibiting of COX2 and inflammation with phenolic aldehydes, Int. Appl., WO 2009009056 A1 20090115 [10]. Apaya Maria Karmella L; Chichioco-Hernandez Christine L., (2014). New steroidal saponin from Antigonon leptopus Hook. & Arn, Pharmacognosy magazine, 10(Suppl 3), S501-5 [11]. Wongwattanasathien O; Kangsadalampai K; Tongyonk L., (2010).Antimutagenicity of some flowers grown in Thailand, Food and chemical toxicology : an international journal published for the British Industrial Biological Research Association , 48(4), 1045-51 [12]. Gurav,Shailendra S.,Gurav,Nilambari S., (2014).Indian Herbal Drug Microscopy.Springer [13]. Wallis, T.E., (1984). Practical Pharmacognosy, J. & A. Churchill Ltd., London. (Vth Ed.), [14]. Kokate, C.K., Purohit, A.P. and Gokhale, S.B., (1999).Pharmacognosy, Nirali Prakashan, XII ed. [15]. Anonymous.,(1998).Macroscopic and microscopic Examination: Quality Control Methods for Medicinal Plant Materials, WHO, Geneva. [16]. Anonymous., (2007). Indian Pharmacopoeia, Part- II (Formulations), Vol. I, First edition, Government of India. Ministry of Health and Family Welfare, The Controller of Publications, 78,191 [17]. Anonymous., (2001). The Ayurvedic Pharmacopoeia of India, Government of India, Ministery of Health & Family Welfare, Published by The Controller of Publications, Civil Lines, New Delhi, Vol.I. [18]. Anonymous., (2007). Quality control methods medicinal plants material, World Health Organization, Geneva. [19]. B.S.Nayak and K.N.Patel. pharmacognostic studies of the jatropha curcas leaves International Journal of pharmtech Research CODEN (USA): IJPRIF ISSN : 0974-4304 Vol.2, No.1, pp 140- 143, [20]. Khandelwal, K.R., (1998).Practical Pharmacognosy, Nirali Prakashan, 5th ed. [21]. Khedkar, P.V., (2000).Pharmacognostic studies in some marketed crude drugs, A thesis submitted to University of Mumbai for the degree of M.Sc. [22]. Trease, G.E. and W.C. Evans., (1996). A textbook of pharmacognosy. 14 Ed. Bailliere Tindall Ltd. London
Sushma Kumari, Anup Deshpande, Arun B Joshi "Microscopic Studies and Physicochemical Evaluation of Antigonon Leptopus Leaves" International Journal of Research and Innovation in Applied Science -IJRIAS vol.1 issue 6, pp.11-14 2016
Aluminium based metal matrix composites are finding wider usage in most of the engineering applications owing to their excellent mechanical properties. These composites are prepared by liquid metallurgy route. The quality of castings produced by this method largely depends on the rate of cooling during the solidification of the composite melt. It is therefore, very much essential for the foundry technologists to understand the solidification phenomenon and control the influencing variables resulting in sound quality castings. In the present work, casting simulation is carried out for LM25 aluminium alloy and its silicon carbide particle composites using commercially available CASTDESIGNER™ software. The simulated cooling curves are experimentally verified and found to be in good agreement.
- Page(s): 15-19
- Date of Publication: 06 October 2016
- Jagadeesh. S.K.Department of Mechanical Engineering, Dr. Ambedkar Institute of Technology, Bangalore, India
- Sathish. S.Department of Mechanical Engineering, Dr. Ambedkar Institute of Technology, Bangalore, India
- Krishnaraj, U.N.Department of Mechanical Engineering, Dr. Ambedkar Institute of Technology, Bangalore, India
References
[1]. Zhou, W., and Xu, Z.M., (1997), Casting of SiC reinforced metal matrix composites, J. Mater. Process. Technol., 358-363. [2]. Pillai, R.M., Pai, B.C., and Satynarayana, K.G.,(1993), Particulate reinforced light metal matrix composites: Potentials for defence and aerospace applications, Proc. Institute Industry Meet, 44-48. [3]. Rajan, T.P.D., Narayana Prabhu, K., Pillai, R.M., and Pai, B.C., (2007), Solidification and casting/mould interfacial heat transfer characteristics of aluminium matrix composites, Compos. Sci. Technol., 2007, 70-78. [4]. Ravindran, K., and Lewis, R.W., (1998), Finite element modeling of solidification effects in mould filling, Finite Elem. Analy. Des., 31 (2), 99-116. [5]. Venkatesan, A., Gopinath, V.M., and Rajadurai, A., (2005), Simulation of casting solidification and its grain structure prediction using FEM, J. Mater. Process. Technol., 168 (1), 10-15. [6]. Jagadeesh, S.K., Ramesh, C.S., Mallikarjuna, J.M., and Keshavamurthy, R., (2010), Prediction of cooling curves during solidification of Al 6061-SiCp based Metal Matrix Composites using Finite Element Analysis, J. Mater. Process. Technol., 210, 618-623. [7]. Ramesh, C.S., Rangarajan, R., and Muneer Basha, H., (2006), Modeling studies on solidification of metal matrix composites, In: V.C. Venkatesh and N.S.M. El-Tayeb (Eds), Proc. Intl. Conf. Mfg. Sci. Technol., Malaysia, 392-395. [8]. Pariona, M.M., and Mossi, A.C., (2005), Numerical simulation of heat transfer during the solidification of pure iron in sand and mullite moulds, J. Brazilian Soc. Mech. Sci. Engg., 27, 399-406. [9]. Cetin, A., and Kalkanli, A., (2009), Numerical simulation of solidification kinetics in A356/SiCp composites for assessment of as-cast particle distribution, J. Mater. Process. Technol., 209 (10), 4795-4801. [10]. Prabhakar Rao, P., Chakraverthi, G., Kumar, A.C.S., and Balakrishna, B., (2011), Application of casting simulation for sand casting of a crusher plate, Intl. J. Thermal Technol, 1 (1), 107-113
Jagadeesh. S.K., Sathish. S., Krishnaraj, U.N. "Simulation Studies on Sand Cast LM25 Aluminium Metal Matrix Composites" International Journal of Research and Innovation in Applied Science -IJRIAS vol.1 issue 6, pp.15-19 2016