# Toward the best constant factor for the Rademacher-Gaussian tail comparison

ESAIM: Probability and Statistics (2007)

- Volume: 11, page 412-426
- ISSN: 1292-8100

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topPinelis, Iosif. "Toward the best constant factor for the Rademacher-Gaussian tail comparison." ESAIM: Probability and Statistics 11 (2007): 412-426. <http://eudml.org/doc/250122>.

@article{Pinelis2007,

abstract = { It is proved that the best constant factor in the Rademacher-Gaussian tail comparison is between two explicitly defined absolute constants c1 and c2 such that c2≈1.01 c1.
A discussion of relative merits of this result versus limit theorems is given.
},

author = {Pinelis, Iosif},

journal = {ESAIM: Probability and Statistics},

keywords = {Probability inequalities; Rademacher random variables; sums of independent random variables; Student's test; self-normalized sums.; probability inequalities; rademacher random variables; student's test; self-normalized sums},

language = {eng},

month = {8},

pages = {412-426},

publisher = {EDP Sciences},

title = {Toward the best constant factor for the Rademacher-Gaussian tail comparison},

url = {http://eudml.org/doc/250122},

volume = {11},

year = {2007},

}

TY - JOUR

AU - Pinelis, Iosif

TI - Toward the best constant factor for the Rademacher-Gaussian tail comparison

JO - ESAIM: Probability and Statistics

DA - 2007/8//

PB - EDP Sciences

VL - 11

SP - 412

EP - 426

AB - It is proved that the best constant factor in the Rademacher-Gaussian tail comparison is between two explicitly defined absolute constants c1 and c2 such that c2≈1.01 c1.
A discussion of relative merits of this result versus limit theorems is given.

LA - eng

KW - Probability inequalities; Rademacher random variables; sums of independent random variables; Student's test; self-normalized sums.; probability inequalities; rademacher random variables; student's test; self-normalized sums

UR - http://eudml.org/doc/250122

ER -

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