Prof. K. R. Parthasarathy, an emeritus Distinguished Scientist of ISI, Delhi in one of his papers entitled “Some highlights on the work in probability theory in India during 1980-2008 : A report” published in Current Trends in Science wrote- “A considerable amount of research in applied probability have been going on in the universities and IITs..... . Some major centres of such activity have been the groups around Professor J. Medhi in Guwahati, ......”. He was one of the pioneer researchers on the problems of estimation of spectral density function of time series. Another research field where Prof. Medhi's contributed immensely is Probability Distributions. His research in this field led some common distributions to their extended form and many of his derivations were recognized as simpler alternative approaches.
Another research field where he stamped his authority through his seminal research papers is stochastic process in queueing. The results he obtained in this field are of immense practical importance, mainly because of the potential applications in computer, communication system, transportation and industrial processes. The research he did particularly in this field attracted the attention of scholars from very prestigious universities abroad. The doctoral thesis of a scholar from MIT and another from University of Toronto leaned heavily on his works. In a research paper entitled “A Diffusion Model for Packet Travel Time in a Random Multi- Hop Medium” on Computer Communication Networks which was published in ACM Journal, Vol. 2, No. 3, pp 111-128, 2006, Prof. Erol Gelenbe of Imperial college, London wrote “....We represent the distance of the packet to the destination