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On Distribution of Order Statistics from Kumaraswamy Distribution
Garg, Mridula Department of Mathematics 2008 Kyungpook mathematical journal Vol.48 No.3
In the present paper we derive the distribution of single order statistics, joint distribution of two order statistics and the distribution of product and quotient of two order statistics when the independent random variables are from continuous Kumaraswamy distribution. In particular the distribution of product and quotient of extreme order statistics and consecutive order statistics have also been obtained. The method used is based on Mellin transform and its inverse.
The Distribution of the Products of Powers of Generalized Dirichlet Components
Mridula Garg,Vimal Katta,Mahesh Kumar Gupta 경북대학교 자연과학대학 수학과 2002 Kyungpook mathematical journal Vol.42 No.2
In the present paper we establish a generalized Dirichlet distribution and obtain the distirbution of the products of powers of components of the generalized Dirichlet variable. Our findings unify and extend the results given earlier by Rogers and young[3], Rogers[2],Johnson and Kotz[7] and several others.
On Certain Unified Integrals Involving General Class of Polynomials and the Multivariable H-function
Mridula Garg,Shweta Mittal 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.4
In the present paper we evaluate two infinite integrals involving the product of two general classes of polynomials and the multivariable H -function with general arguments. These integrals are unified in nature and we can derive from them a large number of integrals involving simpler functions and polynomials as their particular cases. It maybe pointed out here that in the present paper we have also corrected an integral recorded erroneously in the well known book by Gradshteyn I. S. and Ryzhik I. M. [1, p.346, eq.3.257] .
A Study of Multidimensional Fractional Integral Operators and Generalized Stieltjes Transform
Mridula Garg ...et al KYUNGPOOK UNIVERSITY 2000 Kyungpook mathematical journal Vol.40 No.1
In this paper, we study multidimensional fractional integral operators whose kernels involve the product of generalized polynomial sets and the multivariable H ㅡ function. First, we obtain the images of generalized Stieltjes transform of fractional integral operators and conversely, the fractional integrals of generalized Stieltjes transform. Finally, we mention the multidimensional Mellin transform of these operators and establish the corresponding inversion formulas. The fractional integral operators studied by us are quite general in nature and thus the results obtained here provide useful extensions and unifications of a number of (known or new) results for simpler families of fractional integral operators.
Case Report : Periosteal nociceptors induced hypotension and bradycardia under spinal anesthesia
( Rakesh Garg ),( Pradeep Karunagaran ),( Mridula Pawar ) 대한마취과학회 2011 Korean Journal of Anesthesiology Vol.60 No.1
The sudden hemodynamic disturbance in the perioperative period can occur because of various surgical and anesthetic reasons but hemodynamic collapse due to noxious stimulus of periosteum stripping has not been described. We report two cases of severe hypotension and bradycardia during periosteum stripping in orthopedic surgery under subarachnoid block even though the block level was adequate. In our patients, hemodynamic collapse occurred specifically at a moment when surgeons manipulated periosteum and fall in blood pressure and heart rate was sudden in onset. The hemodynamic disturbance did not appear to be related to vagally mediated or due toblockade of sympathetic fibers but appeared to be related to periosteal nociceptors. (Korean J Anesthesiol 2011; 60: 52-53)
Kumar, Santosh,Garg, Pankaj,Pandey, Shambhavi,Kumari, Mridula,Hoon, Seonwoo,Jang, Kyoung-Je,Kapavarapu, Ravikumar,Choung, Pill-Hoon,Sobral, Abilio J. F. N.,Hoon Chung, Jong The Royal Society of Chemistry 2015 Journal of Materials Chemistry B Vol.3 No.17
<P>Gene therapy is the treatment of human disorders by the introduction of genetic material to specific target cells of a patient. Chitosan and its derivatives show excellent biological properties including biocompatibility, biodegradability and nonallergenicity. Primary amines of chitosan are responsible for its cationic nature and hence binding and protection of DNA for intracellular delivery. But the transfection efficiency of chitosan based gene transporters is severely hampered by its poor physical properties such as low water solubility and high viscosity. In this study, primary amines of low molecular weight (LMW) chitosan were coupled with 2-acrylamido-2-methylpropane sulphonic acid (AMP) making it water soluble for its application in gene delivery. AMP modified chitosan (CSAMP) showed an enhanced interaction with DNA and a higher buffering capacity due to AMP amines leading to a higher transfection efficiency in cancer cells (A549, HeLa and HepG2) compared to native chitosan and Lipofectamine®. <I>In vivo</I> studies in Balb/c through intravenous injection demonstrated a higher luciferase expression compared to LMW chitosan.</P>