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In page 290 of book Weak Convergence and Empirical Processes, the last two lines say that the second assertion of theorem 3.2.5 can be proved by minor simplification of the preceding argument, I want someone to provide me the detail of the proof of the second assertion of theorem 3.2.5. The pictu...
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In page 290 of book Weak Convergence and Empirical Processes by Aad van der vaart, Jon Wellner, the last two lines say that the second assertion of theorem 3.2.5 can be proved by minor simplification of the preceding argument, I want someone to provide me the detail of the proof of the second ass...
Since searching for sinc yields nearly $1500$ results, I propose that the tag cardinal-sine be created for the cardinal sine function
$$ \operatorname{sinc} (x) := \frac{\sin (x)}{x} $$
In mathematics, physics and engineering, the sinc function, denoted by sinc(x), has two forms, normalized and unnormalized.
In mathematics, the historical unnormalized sinc function is defined for x ≠ 0 by
Alternatively, the unnormalized sinc function is often called the sampling function, indicated as Sa(x).In digital signal processing and information theory, the normalized sinc function is commonly defined for x ≠ 0 by
In either case, the value at x = 0 is defined to be the limiting value
for all real a ≠ 0 (the limit can be proven using the squeeze theorem).
The normalization causes the...
