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Showing 1 to 1 of 1 for “"K-SUCCESS RUNS"”.
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ΜΕΓΙΣΤΟ ΜΗΚΟΣ ΡΟΗΣ ΕΠΙΤΥΧΙΩΝ ΚΑΙ ΠΟΛΥΩΝΥΜΑ ΤΥΠΟΥ-FIBONACCI
… A RANDOM VARIABLE N DENOTING THE LONGEST SUCCESS RUN IN N (N>1) BERNOULLI TRIALS WITH SUCCESS PROBABILITY P (O<P<1). WE DERIVE FORMULAS FOR P (LN=K) AND P (LN<K) (1<K<N). WE ALSO DERIVE THE GENERATING FUNCTION AND FACTORIAL MOMENTS OF LN. OUR FORMULAS ARE IN TERMS OF FIBONACCI-TYPE …