@techreport{15084e3a8ae64d1e8f6cef4b2d6af501,

title = "The Maximal Height of Simple Random Walks Revisited",

abstract = "In a recent paper Katzenbeisser and Panny (1996) derived distributional results for a number of so called simple random walk statistics defined on a simple random walk in the sense of Cox and Miller (1968) starting at zero and leading to state 1 after n steps, where 1 is arbitrary, but fix. In the present paper the random walk statistics Dn = the one-sided maximum deviation and Qn = the number of times where the maximum is achieved, are considered and distributional results are presented, when it is irrespective, where the random walk terminates after n steps. Thus, the results can be seen as generalizations of some well known results about (purely) binomial random walk, given e.g. in Revesz (1990). (author's abstract)",

author = "Walter Katzenbeisser and Wolfgang Panny",

year = "1998",

language = "English",

series = "Forschungsberichte / Institut f{\"u}r Statistik",

publisher = "Department of Statistics and Mathematics, WU Vienna University of Economics and Business",

number = "58",

edition = "September 1998",

type = "WorkingPaper",

institution = "Department of Statistics and Mathematics, WU Vienna University of Economics and Business",

}