Find the MLE

 

 

Let X1, . . . , Xn denote a sample from a population with one of the following densities or frequency functions. Find the MLE of θ

f(x, θ) = cθ^cx ^−(c+1) , x ≥ θ; c constant > 0; θ > 0. (Pareto density)

f(x, θ) = √ θx^ (√ θ−1) , 0 ≤ x ≤ 1, θ > 0. (beta, β( √ θ, 1), density)

 

 

 

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Rene Descartes and the Question of How to Treat Reality

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rene descartesRene Descartes was especially well known for endeavoring to show up at certain essential rules that could be without a doubt considered as evident. The strategy Descartes decided to move toward this difficult assignment was to address everything and anything. In his Meditations on First Philosophy [Bennett, 2010], Descartes concentrated on the issue of recognizing attentiveness and dreaming. How might we say what the truth is if there is the likelihood that we are essentially dreaming it?

The French scholar contends that there is no solid sign to tell when we are dreaming, and when we are in truth encountering reality. Being profoundly strict, the thinker proceeds to recommend this may be a stunt of some “finesse evil spirit” [Blom, 1978] who attempts to trick innocent spirits by prompting them accept that whatever is around them is genuine which, actually, is a bogus supposition. The inquiry that Descartes raised around 400 years prior has perplexed me and made me question whether it is at all normal to question all that we see through hearing, seeing, contacting, tasting, and smelling. To me, such a pointless caution is fairly unjustified and irrational.

We accept what we need to accept. At whatever point we attempt to comprehend why individuals join a religion or participate in an outrageous quick, accentuation ought to be set on wants. In any event, when we deny ourselves, we as a rule do it trying to pick up what we want: a thin figure, a commendation or an appreciating look, absolution or regard. At the point when we decide to accept or question, we do it for an explanation that we probably won’t admit to ourselves or others, however there is constantly an explanation. Along these lines, when we can’t think about an explanation not to confide in our faculties, at that point for what reason would it be a good idea for us to question it?

Its a well known fact that what we accept gets each opportunity of getting valid, regardless of whether it isn’t as of now in our apparent reality. Representation procedures, mental preparing, and gestalt treatment classes that have increased colossal prevalence in the previous 20-25 years all instruct us to control what we think, to concentrate on positive deduction, and to annihilate those inward fringes of our soul that reveal to us our fantasies are difficult to accomplish, our aptitudes are constrained, and our chances are not many. Let us decide to accept the inverse, and not question the chance of us being the bosses of our lives, so that no ‘shrewdness devil’ can occupy us with bogus observations and lose us the correct way.

I think it is against the idea of our body and psyche to question our own faculties at each point in time. We were made with the five faculties for an explanation, regardless of whether it was by God, commonly, or some other heavenly power—whatever the hypothesis one wishes to help. It is hard to question the way that we work the manner in which we work, and see the manner in which we see. We don’t have the smell of a dog, or seeing a bird, and we don’t hear ultrasound. In any case, possibly that is on the grounds that we shouldn’t. Let us concede that there is data that mankind doesn’t have a clue, a large number of disclosures are yet to be made, billions of inconceivable disclosures to stun humankind in the years to come, and substantially more that remaining parts unfamiliar by us. Does that make our lives trivial? I don’t think so. I decide to accept that what I see is valid, what I sense is dependable, and that no evil spirit aside from my own insane creative mind can delude me with any changelessness.

References

Bennett, J. (2010). Reflections on First Philosophy in which the Existence of God and the Distinction between the Human Soul and Body are Demonstrated. Rene Descartes. (pp. 1-36).

Blom, J. J. Descartes. His Moral Philosophy and Psychology. New York University Press, 1978.

 

 

 

 

 

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