ThetaWin

Sch ausse , D. G. (2025). The aWin: G aphical use in e ace o The a applica ions wi hin ConsoleApp_Dis ibu ionFunc ions.
The aWin DOI:10.5281/zenodo.7659263
Die ma G. Sch ausse
o cid.o g/0000-0002-4924-8280
Ka l-F anzens Uni e si y, G az, Aus ia
G aphical use in e ace o The a applica ions
(Sch ausse , 2009) wi hin ConsoleApp_Dis ibu ion
Func ions (Sch ausse , 2024), gene a ing dis ibu-
ions and es ima o s o se e al pa ame e s 𝜃 ia
boo s ap me hod, wi h gi en numbe o esamples
𝐵, whe e boo s ap es ima o
𝜃
𝐵=𝐵−1 ⋅∑𝜃𝑖∗
𝐵
𝑖=1 ,
in oduced by E on (1979, 1981, 1982) as a u he
de elopmen o he Jackkni e me hod (Quenouille,
1949). See also Mon e-Ca lo Me hode (Me opolis
& Ulam, 1949) and pe mu a ion o andomiza ion
es s, i s men ioned by Fishe (1935), based on his
own accoun o expe imen s in ag icul u e (Fishe ,
1926) and he wo k by Neyman (1923).
In his con ex see u he Pi man (1937a, b, 1938),
Fishe (1966, 1971), E on e al. (1992), Good
(2006), Edging on and Onghena (2007), Beasley and
Rodge s (2009), One o (2020) o Kaue mann e
al. (2021). A undamen al compa a i e o e iew o
he di e en me hods and app oaches is gi en by
Sch ausse (1996, 2025, es.).
Re e ences
Beasley, W. H., & Rodge s, J. L. (2009). Resampling
Me hods. In The Sage Handbook o Quan i a-
i e Me hods in Psychology, edi ed by Millsap,
R. E., & Maydeu-Oli a es, A., 362–86. Thou-
sand Oaks, Cali o nia: Sage Publica ions L d.
h ps://psycne .apa.o g/doi/10.4135/9780857
020994.n16
Edging on, E. S., & Onghena, P. (2007). Randomiza ion
Tes s. 4 h ed. New Yo k: Chapman and Hall/
CRC. h ps://doi.o g/10.1201/9781420011814
E on, B. (1979). Boo s ap Me hods: Ano he Look a he
Jackkni e. The Annals o S a is ics, 7(1), 1–26.
h ps://doi.o g/10.1214/aos/1176344552
E on, B. (1981). Nonpa ame ic Es ima es o S anda d
E o : The Jackkni e, he Boo s ap and O he
Me hods. Biome ika, 68(3), 589–99. h ps://
doi.o g/10.1093/biome /68.3.589
E on, B. (1982). The Jackkni e, he Boo s ap and O he
Resampling Plans. CBMS-NSF Regional Con e-
ence Se ies in Applied Ma hema ics, Mono-
g aph, 38. Philadelphia: SIAM, Socie y o In-
dus ial and Applied Ma hema ics. h ps://doi.
o g/10.1137/1.9781611970319
E on, B., & Ko z, S., & Johnson, N. L. (1992). Boo s ap
Me hods: Ano he Look a he Jackkni e. In
B eak h oughs in S a is ics: Me hodology and
Dis ibu ion, 569–93. New Yo k, NY: Sp inge
New Yo k. h ps://doi.o g/10.1007/978-1-461
2-4380-9_41
Fishe , R. A. (1926). The A angemen o Field Expe i-
men s. Jou nal o he Minis y o Ag icul u e,
33, 503–15. h ps://doi.o g/10.23637/ o ham
s ed.8 61q
Fishe , R. A. (1935). The Design o Expe imen s. 1s ed.
Edinbu gh: Oli e & Boyd. h ps://psycne .
apa.o g/ eco d/1939-04964-000
Fishe , R. A. (1966). The Design o Expe imen s. 8 h ed.
Edinbu gh: Ha ne . h ps://sci p.o g/ e e ence
/ e e encespape s.aspx? e e enceid=895747
Fishe , R. A. (1971). The Design o Expe imen s. 9 h ed. New
Yo k: Ha ne P ess. h ps://home.ii k.ac.in/
~shalab/ano a/DOE-RAF.pd
Good, P. (2006). Resampling Me hods. 3 d ed. Basel: Bi k-
häuse . h ps://www.amazon.com/Resamplin
g-Me hods-P ac ical-Guide-Analysis/dp/08176
43869
Kaue mann, G., Küchenho , H., & Heumann, C. (2021).
Boo s apping. In S a is ical Founda ions, Rea-
soning and In e ence: Fo Science and Da a Sci-
ence, 197–229. Cham: Sp inge In e na ional
Publishing. h ps://doi.o g/10.1007/978-3-030
-69827-0_8
Me opolis, N., & Ulam, S. (1949). The Mon e Ca lo Me-
hod. Jou nal o he Ame ican S a is ical
Associa ion, 44(247), 335–41. h ps://doi.o g/
10.1080/01621459.1949.10483310
Neyman, J. (1923). Su les applica ions de la heo ie des
p obabili es aux expe ience ag icoles: Essay de
p incipes. Roczniki Nank Polniczek, 10, 1–51.
h ps://link.sp inge .com/chap e /10.1007/97
8-94-015-8816-4_10
One o, L. (2020). Resampling Me hods. In Model Selec ion
and E o Es ima ion in a Nu shell, 25–31.
Cham: Sp inge In e na ional Publishing.
h ps://doi.o g/10.1007/978-3-030-24359-3_4
Pi man, E. J. G. (1937a). Signi icance Tes s Which May Be
Applied o Samples om Any Popula ions. Sup-
plemen o he Jou nal o he Royal S a is ical
Socie y, 4(1), 119–30. h p://www.js o .o g/
s able/2984124
Pi man, E. J. G. (1937b). Signi icance Tes s Which May Be
Applied o Samples om Any Popula ions. II.
The Co ela ion Coe icien Tes . Supplemen
o he Jou nal o he Royal S a is ical Socie y,
4(2), 225–32. h p://www.js o .o g/s able/298
3647
Pi man, E. J. G. (1938). Signi icance Tes s Which May Be
Applied o Samples om Any Popula ions: III.
The Analysis o Va iance Tes . Biome ika,
29(3/4), 322–35. h p://www.js o .o g/s able/
2332008
Quenouille, M. H. (1949). App oxima e Tes s o Co ela-
ion in Time-Se ies. Jou nal o he Royal S a is-
ical Socie y B, Me hodological, 11(1), 68–84.
h ps://doi.o g/10.1111/j.2517-6161.1949. b0
0023.x
Sch ausse , D. G. (1996). Pe mu a ions es s: Theo e ische
und p ak ische A bei sweise on Pe mu a ions-
e ah en beim un e bundenen 2 S ichp oben-
p oblem. Uni e si ä G az: Na u wissenscha -
liche Fakul ä . h ps://zenodo.o g/ eco ds/115
29663
Sch ausse , D. G. (2009). The aWin O e iew. So wa e.
Academia. h ps://www.academia.edu/81800
920
Sch ausse , D. G. (2024). Sch ausse /ConsoleApp_Dis i-
bu ion_Func ions: Console applica iones o
dis ibu ion unc ions ( e sion 1.5.0). h ps://
doi.o g/10.5281/zenodo.7664141
Sch ausse , D. G. (2025). Ma hema ical and S a is ical
Applica ions o HP P ime. SocA Xi Pape s,
Augus , 1–15. h ps://doi.o g/10.31235/os .io/
s8a6_ 1