Page 367 - Applied Probability
P. 367
Index
simulation, 328
Coupling × repulsion mating, see
smooth transformation of, 318
Double-intercross mating
Wright’s formula, 327
Coupling method, 299
for approximating W d , 74, 301
Dirichlet distribution, 47
for approximating hypergeo-
metric distribution, 312 Digamma function, 49 357
as conjugate prior for multino-
for birthday problem, 312 mial, 48
for gap lengths between mark- posterior moments, 55
ers, 304–306 variance and covariance, 55
for matches in random per- Dirichlet-multinomial distribution,
mutation, 311 49
Crossover, 2 Distal direction, 342
Crossover processes, 257 Distance
Cystic fibrosis genetic, 258
and heterozygote advantage, total variation, see Total vari-
11 ation distance
risk prediction, 135 DNA
segregation analysis, 30 annealing, 345
Cytosine, 341 complementary, 347
denaturing, 345
Davidon’s formula, 46 fingerprinting, 33
Death notice data, 35 length of base runs in, 295–
Deoxyribonucleic acid, see DNA 296
Descartes’ rule of signs, 136 manipulation by geneticists,
Descent graph, 175 345
likelihood of, 176, 179–181 sequence comparison, 281–293,
Descent state, 175 308–310
use in haplotyping, 186 strand, 341
Descent tree, 177–179 Markov chains on, 172
Design matrix, 141 sense and antisense, 341
Detailed balance structure, 341
continuous time, 210 using restriction enzymes to
discrete time, 171 cut, 306
Diffusion process, 317–338 vector, 346
approximate distribution, 329 Dominance genetic variance, 100,
center of probability, 329 111
recurrence for, 331 cross covariance, 148
special functions, 331 in calculating risk ratios, 102
first passage time, 322 in trait covariance, 141
forward equation, 320, 329 Dominant allele, 2
infinitesimal mean, 317 Dominant disease gene
infinitesimal variance, 317 diffusion model, 321
ODE for mean, 325 mean frequency, 325
ODE for variance, 325 Double-backcross mating, 43
probability flux, 319 Double-intercross mating, 44–45
