Treść książki
Przejdź do opcji czytnikaPrzejdź do nawigacjiPrzejdź do informacjiPrzejdź do stopki
Linearregressionwasalsodiscussed9reducingthequestionofrandomvariables
interdependencytofunctionaldependency.However9nonlinearregressionwas
describedasageneralprocedureusedtomatchanykindofdependencybetween
definedvariableYanddefiningvariableX.Thereweregivenexamplesofse-
veralnonlinearfunctionswhich9afterthetransformationofrandomvariables9
werebroughttothemodeloflinearregression.Inthepresentworkthedocument
titled“Expressingmeasurementuncertainty:Guide”(publishedin1999)ofthe
MainOfficeofMeasureswasalsotakenintoaccount.Onthebasisofthisdocu-
mentstandarduncertaintiesoftypeAandBweredefined9forstandardizingbasic
instrumentsusedinlaboratories9aswellascalculatingstandarduncertaintyfor
compositequantities9expandeduncertaintyandverificationoflinearhypothesis.
Withreferencetotheresearchintheballisticlaboratory9thefirsttodiscusswas
themeasuringstand(“manometricbomb”)andthenanalysiswasmadeofsimple
ballisticcharacteristicsofgunpowderfromanSMcartridgecal.7.62×39mmFMJ.
Thenextturnwascalculatingthemeasurementuncertaintyofparameterdistribu-
tioninthecaseofsuchballisticquantitiesasgeometriccharacteristicsofamano-
metricbomb9gunpowdergrains9powderchargemassresource9ignitiontimeof
powdercharge
t
z
n
foradefinitevalueofignitionpressure
pt
z
(
z
ni
9
)const
±
forthe
lowpressurecurve9andignitiontime
t
z
w
foradefinitevalueofignitionpressu-
re
pt
z
(
z
wi
9
)const
±
forthehighpressurecurve.Attheinflectionpointofthepres-
suredevelopmentcurve9measurementuncertaintycalculationsweremadefor
timedistributionparameters
t
p
n
andthatofpressure
p
p
n
onthelowpressure
curve9aswellastime
t
p
w
andpressure
p
p
w
onthehighpressurecurve9whe-
reasatthefinalpointofpowdergraincombustion9measurementuncertaintyof
timedistributionparameterswascalculatedfortime
t
m
n
andpressure
p
m
n
for
themaximumcurveoflowpressureaswellastime
t
m
w
andpressure
p
m
w
forthe
maximumvalueofthehighpressurecurve.Calculationsofthelastsimplevalue
concerneduncertaintymeasurementofparameterdistributionforatotalimpulse
ofpost-explosiongases
I
m
ś
r.
Next9complexvaluesanalysiswasmadeasafunc-
tionofaveragesimplevalues9whichanalysismadeitpossibletocalculateuncer-
taintymeasurementofdistributionparametersofsuchballisticcharacteristicsof
propellantsasloadingdensity
∆oflowand
n
∆highpressure9powderstrength
w
f9covolume
O
andspecificcombustionvelocityu
1.
Keywords:uni-andmultidimensionalrandomvariables9distributionparameter9
expectedvalue9pointestimation9intervalestimation9linearcorrelationcoeffi-
cient9regressioncoefficient9standardvariation9powderstrength9covolume9lo-
adingdensity9totalimpulseofpost-explosiongases9propercombustionvelocity.
10
