## Abstract We characterize the pairs of weights (__u__, __v__) such that the oneβsided geometric maximal operator __G__^+^,β defined for functions __f__ of one real variable by verifies the weakβtype inequality or the strong type inequality for 0 < __p__ < β. We also find two new conditions wh
On the maximal inequality
β Scribed by Wang Qiying
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 181 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
In this note, we establish a sequence of maximal inequalities for sums of i.i.d, random variables which sharpen Hoeffding's inequality and many other similar results.
π SIMILAR VOLUMES
We prove some maximal inequalities for fractional Brownian motions. These extend the Burkholder-Davis-Gundy inequalities for fractional Brownian motions. The methods are based on the integral representations of fractional Brownian motions with respect to a certain Gaussian martingale in terms of bet
The One Parameter Inequality Process (OPIP) long predates the Saved Wealth Model (SWM) to which it is isomorphic up to the different choice of stochastic driver of wealth exchange. Both are stochastic interacting particle systems intended to model wealth and income distribution. The OPIP and other v
## Abstract Let __X~a,b~__ be nonnegative random variables with the property that __X~a,b~ β¦ X~a,c~ + X~c.b~__ for all 0__β¦ a < c < b β¦ T__, where __T >__ 0 is fixed. We define __M~a,b~ =__ sup {__X~a,c~: a < c β¦ h__} and establish bounds for __P__[__M~a,b~ β§ Ξ»__] in terms of given bounds for __P[X