## Advances in Combinatorial Methods and Applications to Probability and StatisticsSri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past. |

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### Contents

VII | 3 |

IX | 6 |

X | 7 |

XI | 10 |

XII | 11 |

XIII | 13 |

XIV | 15 |

XVI | 16 |

CXXVII | 299 |

CXXVIII | 301 |

CXXIX | 304 |

CXXXI | 307 |

CXXXII | 310 |

CXXXIII | 312 |

CXXXIV | 313 |

CXXXVI | 317 |

XVIII | 18 |

XX | 19 |

XXI | 20 |

XXII | 21 |

XXIV | 22 |

XXV | 23 |

XXVI | 24 |

XXVIII | 29 |

XXX | 31 |

XXXII | 36 |

XXXIII | 44 |

XXXIV | 47 |

XXXV | 55 |

XXXVI | 59 |

XXXVIII | 60 |

XXXIX | 64 |

XL | 70 |

XLI | 74 |

XLII | 77 |

XLIV | 80 |

XLV | 82 |

XLVI | 83 |

XLVII | 85 |

XLVIII | 87 |

XLIX | 89 |

LII | 91 |

LIII | 92 |

LIV | 93 |

LV | 95 |

LVI | 97 |

LIX | 100 |

LX | 102 |

LXI | 104 |

LXII | 107 |

LXIII | 109 |

LXIV | 111 |

LXV | 115 |

LXVI | 118 |

LXVII | 120 |

LXVIII | 123 |

LXIX | 125 |

LXX | 126 |

LXXI | 129 |

LXXII | 133 |

LXXIII | 135 |

LXXIV | 136 |

LXXV | 138 |

LXXVI | 139 |

LXXVII | 140 |

LXXVIII | 144 |

LXXIX | 148 |

LXXX | 151 |

LXXXI | 153 |

LXXXII | 154 |

LXXXIII | 159 |

LXXXIV | 160 |

LXXXV | 162 |

LXXXVI | 165 |

LXXXVII | 166 |

LXXXVIII | 171 |

LXXXIX | 177 |

XC | 183 |

XCI | 189 |

XCII | 190 |

XCIII | 193 |

XCIV | 195 |

XCV | 197 |

XCVI | 198 |

XCVII | 201 |

XCVIII | 203 |

XCIX | 206 |

C | 216 |

CI | 219 |

CII | 225 |

CIII | 226 |

CIV | 227 |

CV | 228 |

CVI | 230 |

CVII | 231 |

CVIII | 233 |

CIX | 237 |

CX | 243 |

CXI | 247 |

CXII | 259 |

CXIII | 260 |

CXIV | 267 |

CXV | 273 |

CXVI | 275 |

CXVII | 277 |

CXVIII | 280 |

CXIX | 281 |

CXX | 283 |

CXXI | 285 |

CXXII | 287 |

CXXIII | 288 |

CXXIV | 291 |

CXXV | 295 |

CXXVI | 297 |

CXXXVII | 319 |

CXXXVIII | 320 |

CXXXIX | 322 |

CXL | 323 |

CXLI | 324 |

CXLII | 325 |

CXLIII | 326 |

CXLIV | 327 |

CXLV | 328 |

CXLVI | 332 |

CXLVIII | 334 |

CL | 335 |

CLI | 336 |

CLII | 339 |

CLIII | 342 |

CLIV | 346 |

CLV | 350 |

CLVII | 351 |

CLIX | 352 |

CLX | 354 |

CLXI | 355 |

CLXII | 357 |

CLXIV | 361 |

CLXV | 363 |

CLXVI | 365 |

CLXVII | 366 |

CLXVIII | 370 |

CLXIX | 373 |

CLXX | 374 |

CLXXI | 376 |

CLXXII | 378 |

CLXXIV | 380 |

CLXXVI | 385 |

CLXXVII | 387 |

CLXXVIII | 397 |

CLXXIX | 399 |

CLXXX | 401 |

CLXXXI | 403 |

CLXXXII | 408 |

CLXXXIII | 409 |

CLXXXIV | 411 |

CLXXXV | 412 |

CLXXXVI | 413 |

CLXXXVII | 420 |

CLXXXVIII | 423 |

CLXXXIX | 427 |

CXC | 429 |

CXCI | 431 |

CXCII | 436 |

CXCIII | 439 |

CXCIV | 441 |

CXCV | 442 |

CXCVI | 444 |

CXCVII | 447 |

CXCVIII | 448 |

449 | |

CC | 451 |

CCI | 453 |

CCII | 456 |

CCIII | 458 |

CCIV | 460 |

CCV | 462 |

CCVI | 465 |

CCVII | 467 |

CCVIII | 469 |

470 | |

CCX | 471 |

CCXI | 472 |

CCXII | 474 |

CCXIII | 476 |

CCXIV | 478 |

480 | |

CCXVI | 481 |

CCXVII | 483 |

CCXVIII | 484 |

CCXIX | 485 |

CCXX | 486 |

CCXXI | 487 |

CCXXIII | 490 |

CCXXIV | 493 |

CCXXV | 496 |

CCXXVI | 497 |

CCXXVII | 499 |

CCXXVIII | 501 |

CCXXIX | 503 |

505 | |

CCXXXI | 507 |

CCXXXII | 510 |

CCXXXIII | 512 |

CCXXXIV | 514 |

515 | |

CCXXXVI | 521 |

CCXXXVII | 522 |

CCXXXVIII | 526 |

533 | |

CCXL | 535 |

545 | |

### Other editions - View all

Advances in Combinatorial Methods and Applications to Probability and Statistics N. Balakrishnan No preview available - 2011 |

Advances in Combinatorial Methods and Applications to Probability and Statistics N. Balakrishnan No preview available - 1997 |

### Common terms and phrases

Annals Antzoulakos applications Applied Probability arrival asymptotic Balakrishnan Bernoulli Bernoulli trials busy period coefficients color combinatorial computation conditional consider corresponding customers defined denote the number derived discrete distributions of order event Ewens sampling formula example factorial moments formula geometric geometric distribution given Gupta Hirano identity independent Institute of Statistical integers Journal of Applied Keywords and phrases Kotz Koutras Krattenthaler linear Markov chain mean method Mohanty multivariate NE-turns negative binomial distribution nonintersecting lattice paths number of balls number of occurrences obtain order statistics parameters Philippou Poisson Polya polynomial probability generating function problem proof random variables random vector random walk recurrence recurrence relation run of length sample Section server setup Sheffer sequence specified urns station Statistical Mathematics Stirling numbers success runs theory two-rowed arrays urn model urn problems vacation variance voting records waiting