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" The moving power of mathematical invention is not reasoning but imagination. "

— Augustus De Morgan


12h
comment Does consistent estimators have in-variance property?
@Did: How ? it is interms of probability ...
17h
comment Biased MLE estimate of mean (expectation)
Could you please give a proof $E(\hat\lambda)=\frac{n}{n-1}\lambda$
17h
asked Finding kernel of a particular homomorphism
18h
asked Does consistent estimators have in-variance property?
Jul
28
comment Proving $H \subseteq K$ & $[G:H]=[G:K] $ $\implies$ $H=K$ , without using extended Lagrange's theorem
@AyushKhaitan: Nowhere it is given that $G$ is finite ; only the indices of the subgroups are finite
Jul
28
asked Proving $H \subseteq K$ & $[G:H]=[G:K] $ $\implies$ $H=K$ , without using extended Lagrange's theorem
Jul
26
asked $G$ is an abelian group of order a product of distinct primes $\implies G$ is cyclic?
Jul
24
asked The existence of a normal subgroup with finite index
Jul
24
revised Surjectiveness of standard-normal c.d.f.
added 33 characters in body
Jul
24
asked Surjectiveness of standard-normal c.d.f.
Jul
23
asked Fixed points of a certain type of functions with intermediate value property
Jul
23
asked A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
Jul
23
asked Biased MLE estimate of mean (expectation)
Jul
22
comment Boundedness of a certain function defined on a closed bounded real interval
@DavidMitra: Yes , every closed bounded real interval is compact , and if a compact set is contained in the union of a collection of open sets , then it is contained in some finite sub-collection of those open sets . But I don't want to use such topological facts as the problem is not supposed to require any topology
Jul
22
comment Boundedness of a certain function defined on a closed bounded real interval
@DavidMitra: Is there any way to avoid that finite cover of compact sets ?
Jul
22
asked Boundedness of a certain function defined on a closed bounded real interval
Jul
20
asked Minima point is a solution point
Jul
17
comment To derive commutativeness of any group from the normality of all its subgroups & some other conditions
@martini:- and what about some partial converse ? can some extra restrictions be added to make the group abelian ?
Jul
17
asked To derive commutativeness of any group from the normality of all its subgroups & some other conditions
Jul
14
revised An inequality about a sequence
added 272 characters in body