normalized empirical process

A fluctuation process formed from empirical coordinates after centering and scaling to study their asymptotic behavior.

• Types

  stochastic process, asymptotic object

• Aliases

  empirical process

• Contributors
  박진우 (dztg5apj7m) extractionB (s683577b42) reviewsijun-yang (m6hj47gh7t) review

• Asymptotic Distribution of Coordinates on High Dimensional Spheres

  35 citations

• For the full family of \u2113_p(n) spheres with 1 \u2264 p \u2264 \u221e, the coordinate distribution converges at rate \u221an and is described by weak convergence of a normalized empirical process to a limiting Gaussian process built from a Brownian bridge and a simple normal process.

• No direct concept-to-concept edges are published yet.

• \u21132(n) sphere

  geometric object, sampling space1 shared papers
• \u21131(n) sphere

  geometric object, sampling space1 shared papers
• double exponential distribution

  probability distribution1 shared papers
• normal distribution

  probability distribution1 shared papers
• \u2113_p(n) sphere family

  geometric family, sampling space1 shared papers
• brownian bridge

  stochastic process, gaussian process1 shared papers
• simple normal process

  stochastic process, gaussian process1 shared papers
• weak convergence

  probability concept, limit notion1 shared papers