In accord with the gravity of their consequences, accidents are separated into severalcategories:1. Mild accidents causing incapacity for work not more than for 13 weeks (in Austria, notmore than for 4 weeks).2. Those causing a longer but still temporary incapacity.3. Accidents resulting in complete or partial permanent disability.4. Fatal accidents.I adduce the relative numbers of accidents of these categories; note that the number ofaccidents coincides with the number of victims. In this table 2 , attention is turned first of allon the gradual increase in the relative numbers of accidents, both in their recorded totals <strong>and</strong>in those of the two last-mentioned categories. Such an increase is observed not only for allthe insured taken as a single whole, but also for the separate branches of industry, inGermany as well as in Austria. The opponents of the system of compulsory insurance are aptto interpret this fact, not foreseen beforeh<strong>and</strong>, as an argument favoring their viewpoint <strong>and</strong>attribute the increase to the action of the insurance. Even assuming, however, that confidencein a partial recompense for the harm caused by an accident can sometimes relax a worker’svigilance <strong>and</strong> prudence (mostly when h<strong>and</strong>ling machines <strong>and</strong> tools dangerous for life <strong>and</strong>health), we conclude, as von Mayr absolutely correctly remarked at the Milan Congress, thatthat premise speaks against insurance as such rather than against the compulsion.Actually, the connection between insurance <strong>and</strong> the increase in the number of accidentscannot be considered as proven by statistical data. It is mush more probable that the increaseis purely fictitious, that it may be explained by the improvement, over the years, of thesystem of recording accidents, <strong>and</strong> by the population’s ever better underst<strong>and</strong>ing theinstitution of insurance <strong>and</strong> of the ensuing rights to dem<strong>and</strong> recompense for the consequencesof accidents.Another possible cause of the relative increase of those recompensed in Germany may beseen in a transition from the narrow interpretation of an occupational accident to its widedefinition according to which the presence of a special occupational danger connected withthe victim’s kind of work is not dem<strong>and</strong>ed anymore. In general, given the vagueness <strong>and</strong>relativity of the concept of occupational accident, not each distinction between statisticalnumbers concerning different countries or periods corresponds to the same distinction in reallife.In this respect, interesting are the facts reported by Greulich at the Milan Congress. As aresult of a law passed in 1877 <strong>and</strong> imposing on manufacturers the duty to report each more orless serious accident, a continuous increase in their numbers was being noted in the Zürichcanton during 1878 – 1883. Then, a directive dem<strong>and</strong>ing a stricter observance of the law wasissued <strong>and</strong> the number of accidents in 1885 increased at once by 50%. The law of 1887introduced a new, more favorable for the victims, procedure at investigations of civilresponsibility, <strong>and</strong> proclaimed free legal hearings of cases dealing with recompense for theconsequences of accidents, – <strong>and</strong> this fact was again reflected in the considerable increase inthe pertinent statistical figures. And so, it is not proven, <strong>and</strong> neither is it likely that theintroduction of compulsory insurance in Germany <strong>and</strong> Austria led to an actual increase in thenumber of accidents. And there are still less grounds for recognizing a causal relationshipbetween the two facts.The categories of occupational accidents listed above are vague <strong>and</strong> relative to the sameextent <strong>and</strong> perhaps even more so. Thus, rather often sure objective indications of whether avictim is disabled forever or only temporary are lacking. Not less difficult is the exactdistinction between complete <strong>and</strong> partial disability. Consequently, it might be thought thatthe variation of the numbers in columns 5 <strong>and</strong> 7 in the first part of Table 1 was occasioned bya gradual change of the views held by the authorities responsible for granting pensions to thevictims.
Separate spheres of work considerably differ in the degree of danger for those involved.The relative numbers given above provide an idea about that difference betweenmanufacturing industry <strong>and</strong> agriculture. German statistics furnishes relative numbers ofaccidents for each industrial Genossenschaft separately. Each of these associations coversindustrial enterprises of a certain branch. Some branches are united in a single ImperialGenossenschaft, others spread over certain industrial regions <strong>and</strong> are divided between severalassociations. Here are some figures for 1894 giving an idea about the variation of the numberof relative (per 1000 insured) accidents 3 . Note that those insured in a given Genossenschaftare often, according to their occupation, very heterogeneous. Were it possible to separate thetotality of those insured <strong>and</strong> engaged in a definite branch of industry into several groups inaccord with their kind of work, the relative number of accidents (i.e., the coefficients of risk)for them would have considerably differed from each other. This is evident, for example, foremployees of a railway <strong>and</strong> it should especially be especially borne in mind when comparingtwo nations, or different parts of one <strong>and</strong> the same country. In such cases the observedstatistical variations are possibly caused by the different composition of the pertinentworking populations that can also exist when the technology is the same because of thedistinct economic conditions <strong>and</strong> forms of production <strong>and</strong> sale. Issuing from suchconsiderations, Jottr<strong>and</strong> 4 put forward the dem<strong>and</strong> that statistics of accidents collect workersinto groups not covering one or another branch of industry, but by their kind of work (miners,foundry workers, […], – in all, 33 categories). Austrian statistics meets that dem<strong>and</strong> to acertain extent; it occurs, for instance, that among builders the coefficient of risk for roofers isconsiderably higher than for carpenters. Indeed, in 1893 the pertinent figures were […]The investigation of the causes of accidents is of special interest. A cause is hereunderstood as either those technical structures or tools which led to the accident whileworking on/with them, <strong>and</strong> those external processes which directly caused the bodily harm,or certain personal attitudes of the victims <strong>and</strong> their employers to the conditions ofoccupational danger causing the accident. In the following tables 5 100 grave accidents thatoccurred in Germany are distributed in accord with their main causes 6 . Lines 1 – 3 in Table4 taken together show accidents that ought to be blamed on the employers <strong>and</strong> managerswhereas lines 4 – 8 cover the cases having occurred through the workers’ fault. Line 9illustrates accidents of which both the employers <strong>and</strong> the workers were guilty. When beingdescribed in such a manner, the indications of the table become very valuable both for thelawgiver <strong>and</strong> those responsible for preventing accidents by adopting appropriate generalmeasures.Notes1. The general statistics of accidents is not trustworthy. For example, the French officialstatistics showed 1959 accidents having occurred during 1885 – 1887 in the coalmineswhereas a special investigation covering the same time period <strong>and</strong> not even extending overall the mines gave 48,344 cases, i.e. 24 times more.2.{Table 1 provides the yearly numbers of accidents per thous<strong>and</strong> insured for Germanindustrial (1887 – 1895) <strong>and</strong> agricultural Genossenschaften <strong>and</strong> for Austria (1891 – 1894). Itscolumns 5 <strong>and</strong> 7 of its first part, mentioned below, concern Germany <strong>and</strong> show a steadydecrease of accidents resulting in a complete permanent disability <strong>and</strong> a steady increase ofthose leading to temporary disability.}3.{Table 2 lists 10 Genossenschaften covering various industrial branches <strong>and</strong> provides thenumber of grave accidents <strong>and</strong> the total number of them in each of the 10 cases. Here are afew figures from this table. The Nordrhein-Westfalen blast-furnace <strong>and</strong> rolling industry:145.3 accidents (the highest figure), 9.9 of them grave. The carrier’s trade (Fuhrgewerbe?),13.8 grave accidents (the highest number) with the total number of them being only 44.1.}
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of All Countries and to the Entire
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(Coll. Works), vol. 4. N.p., 1964,
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individuals of the third class, the
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From the theoretical point of view
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Second case: Each crossing can repr
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On the other hand, for four classes
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f i = i S + i , i = 1, 2, 3, 4, (
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f 1 = C 1 P(f 1 ; …; f n+1 ), C 1
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ut in this case f = 2 , f 1 = 2 ,
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I also note the essential differenc
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A 1 23n1 + 1 A 1 A 1 … A 11A 2 A
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coefficient of 2 in the right side
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h(A r h - c h A r 0 ) = - A r0we tr
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Notes1. Our formulas obviously pres
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Bernstein’s standpoint regarding
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Corollary 1.8. A true proposition c
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It is important to indicate that al
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ut for the simultaneous realization
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devoid of quadratic divisors and re
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propositions (B i and C j ) can be
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A ~ A 1 and B = B 1 , we will have
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included in a given totality as equ
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For unconnected totalities we would
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proposition given that a second one
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On the other hand, let x be a parti
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totality is perfect, but that the j
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In this case, all the finite or inf
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probabilities p 1 , p 2 , … respe
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where x is determined by the inequa
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totality of the second type (§3.1.
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x = /2 + /(23) + … + /(23… p n
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that the fall of a given die on any
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infinitely many digits only dependi
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10. (§2.1.5). Such two proposition
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F(x + h) - F(x) = Mh, therefore F(x
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“confidence” probability is bas
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x1+ Lp n (x) x1− Lx1+ Lf(t)dt < x
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f (x 1 , x 2 , …, x n ) = 1 if x
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and the probability of achieving no
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E = kEµ. (14)In many particular ca
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a = np, b = np 2 = a 2 /n, = a/nand
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with number (2k - 2), we commit an
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(67)which is suitable even without
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" = 1/[1 - e - ], = - ln [1 - (1/
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Such structures are entirely approp
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11. As a result of its historical d
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exaggeration towards a total denial