Assistant Professor, Department of Chemistry
Jagannath Barooah College (Autonomous)
MSc (Gauhati University), PhD (Gauhati University)
Environmental Chemistry, Material Chemistry, Indigenous Technology
Deepshikha Deka, Bhanita Das, Bhupen K Baruah, and Bhupen Baruah Horizon Research Publishing Co., Ltd.
Research, development and extensive use of generalized form of distributions in order to analyze and modeling of applied sciences research data has been growing tremendously. Weibull and Frechet distribution are widely discussed for reliability and survival analysis using experimental data from physical, chemical, environmental and engineering sciences. Both the distributions are applicable to extreme value theory as well as small and large data sets. Recently researchers develop several probability distributions to model experimental data as these parent models are not adequate to fit in some experiments. Modified forms of the Weibull distribution and Frechet distribution are more flexible distributions for modeling experimental data. This article aims to introduce a generalize form of Weibull distribution known as Frechet-Weibull Distribution (FWD) by using the T-X family which extends a more flexible distribution for modeling experimental data. Here the pdf and cdf with survival function [S(t)], hazard rate function [h(t)] and asymptotic behaviour of pdf and survival function and the possible shapes of pdf, cdf, S(t) and h(t) of FWD have been studied and the parameters are estimated using maximum livelihood method (MLM). Some statistical properties of FWD such as mode, moments, skewness, kurtosis, variation, quantile function, moment generating function, characteristic function and entropies are investigated. Finally the FWD has been applied to two sets of observations from mechanical engineering and shows the superiority of FWD over other related distributions. This study will provide a useful tool to analyze and modeling of datasets in Mechanical Engineering sciences and other related field.
Deepshikha Deka, Bhanita Das, and Bhupen K. Baruah Pakistan Journal of Statistics and Operation Research
The Transmuted Exponentiated Gumbel Distribution (TEGD) has been derived using Exponentiated Gumbel Distribution (EGD) and the Quadratic Rank Transmutation Map (QRTM). The analytical expressions and shapes of the distribution function, probability density function, hazard rate function and reliability function are studied. The parameters of the TEGD are estimated by the method of maximum likelihood. Finally the TEGD is applied to real data set of water quality parameter and found to be better fit than Exponentiated Gumbel Distribution (EGD) and Gumbel Distribution (GD).
Bhupen K. Baruah, Bhanita Das, Chitrani Medhi, and Abani K. Misra Hindawi Limited
The increasing land use intensity without adequate and balanced use of chemical fertilizers and with little or no use of organic manure have caused severe fertility deterioration of our soils resulting in stagnating or even declining of crop productivity in Assam. The need of the hour is to achieve substantially higher crop yield than the present yield levels from our limited land resources on a sustainable basis. A study was carried out in the paddy fields of tea garden belts namely, Rungagora, Balijan, Banwaripur, Khomtai, Rungajaun, Lattakoojan, Borjan, Behora, Negheriting, and Borsapori of Golaghat district of Assam to investigate the fertility status of soil during 2008–2010. Results of the present study showed that soil solutions were acidic in nature in all seasons. Medium-to-high BD, medium SOM, medium-to-high available N and available phosphorous, and low availability of potash showed that soils were not sufficiently fertile for crop production. Depending on the SOM, available N, available P, and exchangeable K in soil, the study areas were grouped in to six fertility classes as MMML, MMHL, MMMM, MHHL, MHHM, and MMHM. Studentt-test values of all the parameters with control sample showed statistically significant results for SOM, available N, and available P in both seasons (dry and wet) and EC in wet seasons and bulk density in dry season only.