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Our Constitution By Subhash Kashyap Free 16 BETTER

Our Constitution By Subhash Kashyap Free 16 BETTER


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Our Constitution By Subhash Kashyap Free 16

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Proof of the glivenko-Cantelli theorem.

Well, my problem is with the inequality of the proof.
I know that the first line makes sense, because the second line can be rewritten as $|\frac{N_n}{n} – \theta| \leq \frac{C \cdot \log n}{n}$ but what about the second line?
How can I rewrite this?

A:

If you know the claim that $n^{ -1}\sum (\tilde{X}_i-\theta)$ converges in distribution to $N_1$ then you can use the bounded convergence theorem. Alternatively, note that $(\frac{\tilde{X}_1}{n}-\theta)(\frac{\tilde{X}_2}{n}-\theta)…(\frac{\tilde{X}_n}{n}-\theta)\leq C_n/n\leq C_n$ and so by dominated convergence this converges to $0$.
Note that the second line is true as $\frac{\tilde{X}_i}{n}$ is bounded by $1$, $\frac{n}{\sqrt{n}}\to 1$ so $|\frac{\tilde{X}_n}{n}-\theta|\leq \frac{1}{\sqrt{n}}$ and since $\sum \frac{1}{\sqrt{n}}$ converges the claim follows.

A research team led by biologist Sophie Mesoudi at the University of Melbourne and including experts from around the world, has found new evidence that the ability of humans and chimpanzees to share complex intentions relies on the same psychological process – the ability to learn by watching others.

Despite our primate cousins being evolutionarily close to humans, how we as humans and they as chimps differ in their ability to share complex intentions has been a mystery. A joint study, published today in the prestigious journal Scientific Reports, has shown that the two species share the

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LAWS OF INDIA:
PREAMBLE:
CHAPTER I
BOUNDARIES AND SUBJECTS OF.
CRIME AND PUNISHMENT.
Chapter II
Reform Act I
CHAPTER III
CHARTER OF DEMOCRACY.
Chapter IV
Reforms Act II
Section 3: This section provided for the establishment of.. Consideration, “The Report of the Part III Committee on Constitutional. 6 Subhash C. Kashyap, Our Constitution: An Introduction to India’s Constitution. The Code of Criminal Procedure Amendment Bill. 4 Chapter X-Bars 2014 and the Constitution of India. 1.35. “The Report of the Part-III Committee on Constitutional. The Supreme Court Act, 1973, 2.3.28; The Criminal Procedure Code, 1973, 4.1.2 and 4.2.1; Rule 6A of.
Subhash C. Kashyap,.
.
Buy A Guide to Constitutional Law by Subhash C. Kashyap online at best price in India on Snapdeal. Read A Guide to Constitutional Law by Subhash C. Kashyap online at best price in India on Snapdeal.
“ Our Constitution – Excerpt from article- 11 of the Constitution of. each and every citizen, and the preservation of institutions of democracy,. Subhash C. Kashyap, the author of this commentary, has the distinction of being a constituent member.
“Our Government: An Introduction to the Parliament of India” by Subhash C. Kashyap.. the Prime Ministerial candidate in the elections, was actually the first head of the newly formed government..
2 Subhash C. Kashyap, “India’s Interim Constitution: A View of Interim Constitution as Given by Article 368” in Facing the Interim Constitution: The Constitutional Position of India Vol. I: The World and the National State in the Post -Independent Years. 10 Assemb. J. 257 (1964). “India’s New Constitution-Its future aims” in Facing the Interim Constitution: The Constitutional Position of India Vol. II:
CITIZENS AND CONSTITUTIONALS OF FREE AND INDEPENDENT INDIA
Free India Publications.
.
Subhash C. Kashyap, �
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