Research philosophy is broad concept but , in this context , I mean that which deals with the source, nature and development of knowledge, which inform the level of research objectives, ways in which data about a phenomenon should be collected, required approach to the analyses, advanced "knowledge" being contributed and the mastery of the use of " the field tools" .
Often in practical areas, classical distributions do not provide adequate fit in modeling data, and there is a clear need for the extended version of these classical distributions .
So, should "finding the best link function" (being parts of introducing a New Family of Probability Distribution Function, G(X:{Ø} ), given the baseline distribution X~F(X_i: I=1,2,...,n:{ ø}) be listed research objectives, given the philosophy of Graduate and PHD research program?
In a recent Phd thesis proposal presentation(new family of generalized distributions), there was a bit tense moment when one member of the panel observed the inclusion of "finding the best link function|baseline distribution" as a research objectives. It sounds ambitious, required step and seemingly outside main focus, given the philosophy attachment of the program. The best out of several means comparing them given a comparative base.
Yes, in many practical areas, classical distributions do not provide adequate fit in modeling data, and there is a clear need for the extended version of these classical distributions (which often have alternative/comparative distribution that also can explain variations , hence distribution of a particular set of random variable, say X.)
I will appreciate your opinions, and perhabs similar research.
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