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What bound does Chebychev’s inequality give for $P(Y ≥ 3 \text{ or } Y ≤ 1)$?

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#probability #inequality #binomial-distribution #integral-inequality #upper-lower-bounds
61
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Check if $a_n=(n-1)/(n+1)$ is bounded

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#sequences-and-series #upper-lower-bounds
67
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Bounds on $\sum_{l=0}^j (-1)^l 3^{j-l}\binom{j}{l}\sum_{k=0}^{\alpha n} \binom{n-j}{k-l}$

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#combinatorics #summation #binomial-coefficients #closed-form #upper-lower-bounds
122
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What is a simple upper bound for $\exp\left(-\frac{1}{2}(x-(2\log(1/\delta)^{1/2}))^2\right)$ given $x \ge0$ and $\delta \in (0, 1)$?

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#taylor-expansion #convex-optimization #approximation #upper-lower-bounds
224
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Upper bounding this integral.

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#integration #definite-integrals #upper-lower-bounds
53
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Probability Whole Sample Below Expectation

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#probability-theory #upper-lower-bounds #concentration-of-measure
77
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A bound for the products of a bounded sequence $\{x_{k}\}$ with $\lim_{t\to \infty}\prod_{k=0}^{t}(1-x_{k})=0$

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#convergence-divergence #infinite-product #upper-lower-bounds
35
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A guess on the bound of the product of bounded sequence $\{x_{k}\}$ with $\lim_{t\to\infty}\prod_{k=0}^{t}(1-x_{k})=0$ exponentially.

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#convergence-divergence #infinite-product #upper-lower-bounds
306
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Isoperimetric inequality for non-spherical multivariate Gaussian

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#probability-theory #differential-geometry #reference-request #upper-lower-bounds #concentration-of-measure
266
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Bounded operators versus bounded sequences

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#functional-analysis #analysis #banach-spaces #upper-lower-bounds
1.4k
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A lower bound for $(1-e^x)^n$

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#calculus #inequality #exponential-function #binomial-theorem #upper-lower-bounds
261
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Lower bound on Sum of squared differences

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#summation #upper-lower-bounds
53
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A sum that includes power of binomials: Possible limit?

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#limits #summation #asymptotics #binomial-coefficients #upper-lower-bounds
84
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Off-diagonal part of PSD matrix Eigenvalue Bound

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#linear-algebra #upper-lower-bounds
96
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Tools for finding bounds on power series

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#analysis #summation #taylor-expansion #upper-lower-bounds

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