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in the influence diagram shown in Fig...
5 Chapter 5Table 5.1 Examples of the hierarchy of propositionsTable 5.2 Frequencies of Ruritanians and those of genotype
for a given locus...Table 5.3 Potential findings following the analysis of hair combingsTable 5.4 Events and probabilities relating to findings under
and
Table 5.5 Likelihood ratios for the outcomes from Table 5.4 with
,
,
;
,
6 Chapter 6Table 6.1 Gene (relative) frequencies for New Zealand in the ABO system.Table 6.2 Gene (relative) frequencies for Chinese in New Zealand in the ABO s...Table 6.3 Probability evidence inState v. Klindt (altered for illustrative pu...Table 6.4 Effects of population structure as represented by
on the likelihoo...Table 6.5 Conditional genotype probability
for the crime stain genotype (
),...Table 6.6 Effects of family relatedness on conditional genotype probabilities...Table 6.7 Posterior odds that a PoI is the source of a crime scene stain that...Table 6.8 Distribution of blood groups of innocently acquired bloodstains on ...Table 6.9 Allelic configuration of three individuals, a child, a mother, and ...Table 6.10 Posterior probabilities of paternity for various prior probabiliti...Table 6.11 Likelihood of paternity.
7 Chapter 7Table 7.1 Results obtained following the analyses of, respectively, the compo...Table 7.2 Refractive indices of glass fragments for Johnston, recovered, and ...Table 7.3 Summary statistics for concentration of dye CI 14 720 in illicit pi...Table 7.4 Likelihood ratio values for varying values of
and
.Table 7.5 Distributional parameters for glass problems.Table 7.6 Transfer probabilities for glass problems.Table 7.7 Some values for the likelihood ratio
for the single fragment case....Table 7.8 Value of
(7.17) as a function of
and
for
.Table 7.9 Medullary widths in microns of 220 cat hairs (Source: Based on Peab...Table 7.10 Value of the evidence for the medullary width of cat hairs for var...Table 7.11 Refractive index of
fragments of float glass from buildings.Table 7.12 Coincidence probability and value of the evidence for the refracti...Table 7.13 Numbers of banknotes contaminated.Table 7.14 The value of evidence in comparing two binomial proportions for di...
8 Chapter 8Table 8.1 Probabilities of strong misleading evidence
and weak evidence
fo...Table 8.2 Eleven illustrative pairs of posterior probabilities
and labels
...Table 8.3 Eleven sets of posterior probabilities
and labels
if
is true a...
9 1Table A.1 Probabilities for the number of sixes,
, in rolls of four fair six‐...Table A.2 Intermediate calculations for the variance of the number of sixes,
Table A.3 Five measurements
of medullary widths in microns of cat hairs.Table A.4 Values of cumulative distribution function
and its complement
fo...Table A.5 Probabilities for absolute values from the standard Normal distribu...Table A.6 Percentage points
for the
‐distribution for given values of sampl...
List of Illustrations
1 Chapter 2Figure 2.1 Basic connections in Bayesian networks: (a) serial, (b) convergin...Figure 2.2 Simple two‐node Bayesian network for a proposition
, relating to...Figure 2.3 Bayes' network for a serial connection for a RM in a DNA profile,...Figure 2.4 Bayesian decision network for analysing the problem of deciding b... 2 Chapter 4Figure 4.1 Prior density function
with , , (dotted line), likelihood f...Figure 4.2 probability interval for a beta distributed random variable. (a...Figure 4.3 Likelihood function for the proportion of people of blood group...Figure 4.4 Probabilistic upper bounds for the proportion of occurrences ...Figure 4.5 Posterior distribution of the sensitivity .Figure 4.6 Histogram of the frequency of sampled values of the probability...Figure 4.7 Beta prior distribution over for .Figure 4.8 The prior probability that the proportion of units in a consi...Figure
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