Browsing by Author "Pradip Kumar"

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A new asymmetric loss function for estimation of any parameter
(DAV College, 2020) Dinesh Kumar; Pawan Kumar; Pradip Kumar; Umesh Singh; Prashant Kumar Chaurasia
A new asymmetric loss function which is suitable for estimation of location as well as scale and other parameters has been introduced. To check the superiority of the proposed loss function over some existing and exploited loss functions such as squared error loss function (SELF), general entropy loss function (GELF), LINEX loss function and Logarithmic-SELF (LSELF), we have calculated the Bayes estimators of the parameterθ of exponential distribution under SELF, GELF, LINEX loss function, Logarithmic- SELF (LSELF) and the proposed exponential squared error loss function (ESELF) for complete sample from the exponential distribution. A data set has been considered to show its application to the real problems. The simulation study is carried out to compare the performance of Bayes estimators in terms of their posterior risks. © 2020 DAV College. All rights reserved.
Clean and Efficient Synthesis of Graphene Nanosheets and Rectangular Aligned-Carbon Nanotubes Bundles Using Green Botanical Hydrocarbon Precursor: Sesame Oil
(American Scientific Publishers, 2014) Rajesh Kumar; Rajesh Kumar Singh; Pradip Kumar; Pawan Kumar Dubey; R.S. Tiwari; O.N. Srivastava
A facile and rapid approach was used for the clean and efficient synthesis of graphene nanosheets (GNSs) and rectangular aligned carbon nanotubes (RA-CNTs) bundles. These structures were formed at different hot zones of the furnace. The sesame oil, a green natural precursor is used first time as a hydrocarbon precursor for the synthesis of GNSs and well packed RA-CNTs bundles. GNSs and RA-CNTs bundles were synthesized by spray pyrolysis of sesame oil with ferrocene as a catalyst, inside silica tube at 800 °C. This new precursor is appropriate for the synthesis of high quality and clean GNSs and RA-CNTs bundles. GNSs show the formation of few layers graphene which contains 6-8 graphene layers. FTIR spectra confirm that there is no more functional group attached on the surface of as synthesized materials. Growth of these nanostructures strongly depends on the temperature inside the tube. Raman studies show intense 2D peak as compared to G peak, signifying presence of GNSs. The investigations reveal that these novel carbon nanostructures synthesized by sesame oil are clean from carbonaceous impurities. © 2014 by American Scientific Publishers.
PCM Transformation: Properties and Their Estimation
(River Publishers, 2021) Dinesh Kumar; Pawan Kumar; Pradip Kumar; Sanjay Kumar Singh; Umesh Singh
In the present piece of work, we are going to propose a new trigonometry based transformation called PCM transformation. We have been obtained its various statistical properties such as survival function, hazard rate function, reverse-hazard rate function, moment generating function, median, stochastic ordering etc. Maximum Likelihood Estimator (MLE) method under classical approach and Bayesian approaches are tackled to obtain the estimate of unknown parameter. A real dataset has been applied to check its fitness on the basis of fitting criterions Akaike Information criterion (AIC), Bayesian Information criterion (BIC), log-likelihood (-LL) and Kolmogrov-Smirnov (KS) test statistic values in real sense. A simulation study is also being conducted to assess the estimator’s long-term attitude and compared over some chosen distributions. © 2021 River Publishers.
Pressure-dependent synthesis of high-quality few-layer graphene by plasma-enhanced arc discharge and their thermal stability
(Kluwer Academic Publishers, 2013) Rajesh Kumar; Rajesh Kumar Singh; Pawan Kumar Dubey; Pradip Kumar; Radhey Shyam Tiwari; Il-Kwon Oh
In this article, a simple and cost-effective method to produce high-quality few-layer graphene (FLG) sheets (∼4 layers) have been achieved by the direct current arc discharge under argon atmosphere, using pure graphite rods as the electrodes. Ar was used as a buffer gas with pure graphite rods as anode and cathode electrodes. We explored the suitable conditions for producing FLG by changing the Ar gas pressure inside the arcing chamber. This method has several advantages over the previous methods to produce graphene for research applications. No toxic and hazardous intercalant was used for producing FLG in this process. The optimum Ar pressure was 500 Torr, for producing minimum number of FLG and this also shows the good thermal stability. The FLG product so obtained has been characterized by X-ray diffraction, scanning and electron microscopy, Raman and Fourier transform infrared spectroscopy. Thermal stabilities of FLG were determined by thermal gravimetric analysis. © 2013 Springer Science+Business Media.
Transmuted inverse lomax distribution and its properties
(DAV College, 2021) Dinesh Kumar; Abhimanyu Singh Yadav; Pawan Kumar; Pradip Kumar; S.K. Singh; Umesh Singh
The objective of the paper is to initiate a new extension of inverse Lomax distribution represented by transmuted inverse Lomax distribution (TILD). The quadratic rank transmutation map (QRTM) method has been used to generate this probability distribution by inserting new parameter that would lead more flexibility. Different statistical properties like moments, inverse moments, moment generating function, quantile function, order statistics etc. have been discussed. Maximum likelihood method of estimation has been discussed and used to estimate the unknown parameter of the proposed model. A real data set has also been carried out to know the usefulness of the model in real life scenario and compared with some chosen distributions on the basis of some chosen model selection criterions. © 2021 DAV College. All rights reserved.