Limit Laws for $ f(X_n) $, $f$ Non-Decreasing. Balkema, A. A. & De Haan, L. Advances in Applied Probability, 5(1):4–5, April, 1973.
Limit Laws for $ f(X_n) $, $f$ Non-Decreasing [link]Paper  doi  bibtex   
@Article{Balkema:1973:LLN,
  author =       "A. A. Balkema and L. {De Haan}",
  title =        "Limit Laws for {$ f(X_n) $}, {$f$} Non-Decreasing",
  journal =      j-ADV-APPL-PROB,
  volume =       "5",
  number =       "1",
  pages =        "4--5",
  month =        apr,
  year =         "1973",
  CODEN =        "AAPBBD",
  DOI =          "https://doi.org/10.2307/1425942",
  ISSN =         "0001-8678 (print), 1475-6064 (electronic)",
  ISSN-L =       "0001-8678",
  bibdate =      "Sat May 3 07:40:51 MDT 2014",
  bibsource =    "http://www.jstor.org/stable/i262216;
                 http://www.math.utah.edu/pub/tex/bib/advapplprob.bib",
  URL =          "http://www.jstor.org/stable/1425942",
  acknowledgement = ack-nhfb,
  ajournal =     "Adv. Appl. Probab.",
  fjournal =     "Advances in Applied Probability",
  journal-URL =  "http://www.jstor.org/journals/00018678.html",
}

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