Asymptotic behaviour of proportions of observations in random regions determined by central order statistics from stationary processes
From MaRDI portal
Publication:5283162
DOI10.1080/02331888.2016.1265966zbMath1369.60016OpenAlexW2565214052MaRDI QIDQ5283162
Krzysztof Jasiński, Anna Dembińska
Publication date: 20 July 2017
Published in: Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331888.2016.1265966
stationary processquantilesalmost sure convergencenear order statistic observationscentral order statistics
Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Stationary stochastic processes (60G10) Strong limit theorems (60F15)
Related Items
Asymptotic behavior of proportions of observations falling to random regions determined by central order statistics, On numbers of observations in random regions determined by records, An ergodic theorem for proportions of observations that fall into random sets determined by sample quantiles, The long-term behavior of number of near-maximum insurance claims
Cites Work
- Unnamed Item
- On the asymptotics of numbers of observations in random regions determined by order statistics
- Asymptotic properties of numbers of observations in random regions determined by central order statistics
- The number of players tied for the record
- Limit laws for the number of near maxima via the Poisson approximation
- The asymptotic probability of a tie for first place
- On the number of maxima in a discrete sample
- A note on the number of maxima in a discrete sample
- Tail estimation based on numbers of near \(m\)-extremes
- On the number of near-maximum insurance claims
- On the number of near-maximum insurance claim under dependence.
- On the multiplicity of the maximum in a discrete random sample
- Bivariate maximum insurance claim and related point processes
- Spacings around an order statistic
- Limit laws for the cumulative number of ties for the maximum in a random sequence
- Asymptotic behavior of central order statistics from stationary processes
- A note on the number of observations near an order statistic
- Large deviations for proportions of observations which fall in random sets determined by order statistics
- LIMIT THEOREMS FOR PROPORTIONS OF OBSERVATIONS FALLING INTO RANDOM REGIONS DETERMINED BY ORDER STATISTICS
- NUMBERS OF OBSERVATIONS NEAR ORDER STATISTICS
- Asymptotic properties of numbers of observations near sample quantiles
- How Many Observations Fall in a Neighborhood of an Order Statistic?
- ON THE NUMBER OF RECORDS NEAR THE MAXIMUM
- Estimation of Tails and Related Quantities Using the Number of Near-Extremes
- Asymptotic normality of numbers of observations in random regions determined by order statistics
- Estimation of Non-Unique Quantiles
