Theorem 2.2 of Majumdar (Sankhyā 67:670-673, 2005) obtained two conditions that are necessary and jointly sufficient for weak convergence in M(H). In this note we significantly relax the second condition while maintaining the joint sufficiency. © 2013, Indian Statistical Institute.

ARINDAM SENGUPTA

Statistics

S KUNDU

S MAJUMDAR

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

Journal	Sankhya: The Indian Journal of Statistics
Publisher	-
ISSN	0972-7671