Position:
Department:
Department of Mathematics (DM)
Room:
NB 630
eMail:
Phone:
+421 259 325 332
Research activities:
Mathematical Statistics, Statistical Quality Control, Acceptance Sampling Plan
Availability:

Publications

Book

  1. I. Garaj – I. Janiga: One sided tolerance limits of normal distribution with unknown mean and variability (in Slovak), Vydavateľstvo STU Bratislava, 2005.
  2. I. Garaj – I. Janiga: . (in Slovak), Vydavateľstvo STU v Bratislave, 2004.
  3. I. Garaj – I. Janiga: Dvojstranné tolerančné medze pre neznámu strednú hodnotu a rozptyl normálneho rozdelenia (in Slovak), Slovenská technická univerzita v Bratislave, 2002.

Article in journal

  1. I. Janiga – I. Garaj – V. Witkovský: On Exact Two-Sided Statistical Tolerance Intervals for normal distributions with unknown means and unknown common variability. Journal of Mathematics and Technology, no. 1, vol. 3, 2012.
  2. I. Garaj – I. Janiga: Obojstranné tolerančné intervaly normálneho rozdelenia v stratégii 6-sigma. Forum Statisticum Slovacum, no. 4, vol. VI, pp. 50–55, 2010.
  3. I. Garaj: Non-Central T-Distribution and Confidence Interval for Non-Centrality Parameter (in Slovak). Forum Statisticum Slovacum, no. 1, vol. 4, pp. 40–45, 2008.
  4. I. Janiga – J. Mocák – I. Garaj: Comparison of Minimum Detectable Concentration with the IUPAC Detection Limit. Measurement science review, Section 1, no. 5, vol. 8, pp. 108–110, 2008.
  5. I. Garaj: The aproximation of noncentral t-distribution quantiles (in Slovak). Forum Statisticum Slovacum, vol. 2, pp. 54–59, 2007.
  6. I. Garaj – I. Janiga: The statistical tolerance interval - an instrument quality control (in Slovak). Forum statisicum slovacum, no. III-4, pp. 46–57, 2007.
  7. P. Cisko – I. Janiga – I. Garaj: Software for computation of detectable value in the case of constant standard deviation (in Slovak). Forum Statisticum Slovacum, vol. 3, pp. 39–42, 2006.
  8. I. Garaj: Jednostranné preberacie plány meraním. Forum Statisticum Slovacum, vol. 3, pp. 32–37, 2006.
  9. I. Garaj: Požiadavky na rozsah náhodného výberu jednostranných preberacích plánov meraní. Forum Statisticum Slovacum, vol. 3, pp. 38–43, 2006.
  10. I. Garaj: Number pi and expansions of functions b_f a ln(b_f) (in Slovak). Forum Statisticum Slovacum, vol. 3, pp. 60–64, 2006.
  11. I. Janiga – I. Garaj: One-sided Tolerance Factors of Normal Distributions with Unknown Mean and Variability. Measurement science review, Section 1, no. 2, vol. 6, pp. 12–16, 2006.
  12. I. Janiga – I. Garaj: Noncentral t-Distribution in Estimating of Minimum Detectable Value by of Using Linear Calibration Function with Constant Standard Devation (in Slovak). Forum Statisticum Slovacum, vol. 3, pp. 44–50, 2006.
  13. I. Janiga – J. Mocák – P. Cisko – I. Garaj – D. Szarková: . (in Slovak). Forum Statisticum Slovacum, vol. 3, pp. 67–72, 2006.
  14. I. Garaj: A Comparison of Akahira Approximation with Exact Computation of One-sided Tolerance Factors of Normal Distributions (in Slovak). Forum Statisticum Slovacum, vol. 2, pp. 19–24, 2005.
  15. I. Janiga – I. Garaj: On One-Sided Tolerance Intervals of Normal Distribution With Unknown Parameters. Journal of Applied Mathematics, Statistics and Informatics, no. 1, vol. 1, pp. 87–100, 2005.
  16. I. Janiga – I. Garaj: On Exact Computation of One-sided Tolerance Factors of Normal Distributions. Forum Statisticum Slovacum, vol. 1, pp. 74–79, 2005.
  17. I. Garaj – I. Janiga: Exaktný výpočet dvojstranných tolerančných medzí normálnych rozdelení s neznámymi strednými hodnotami a s neznámym spoločným rozptylom (in Slovak). Statistica, no. 4, 2003.
  18. I. Janiga – I. Garaj: Two-sided Tolerance Limits of Normal Distributions with Unknown Means an Unknown Common Variability. Measurement science review, no. 1, vol. 3, pp. 75, 2003.
  19. I. Garaj: Preberacie plány exponenciálneho rozdelenia (in Slovak). Forum Metricum Slovacum Tom V, pp. 5–10, 2002.

Article in conference proceedings

  1. I. Garaj – I. Janiga: Detection of quality of a foreign substance in food using calibration function with a constat standard variation (in Slovak). In XXXIV. Zhromaždenia KZ SR, pp. 44–50, 2011.
  2. I. Garaj – I. Janiga: Novel tool for analysis in the method 6 sigma (in Slovak). In Nové trendy v manažérstve kvality, Vydavateľstvo ALumniPress, MtF STU Trnava, vol. 4., pp. 124–128, 2011.
  3. I. Janiga – I. Garaj: On exact two-sided statistical tolerance intervals for normal distributions with unknown means and unknow common variability. In 2009 Quality and Pro0ductivity Research Conference, IBM Thomas J. Watson Research Center, Yorktown Heights, Nerw York, pp. 5617–5626, 2009.
  4. I. Garaj: The approximation to a percentage point of the non-central t-distribution. pp. 5–11, 2007.
  5. I. Janiga – I. Garaj: Použitie štatistických tolerančných intervalov v riadení kvality (in Slovak). pp. 136–152, 2007.
  6. I. Garaj – I. Janiga: Application of One-Sided Tolerance Factors of Normal Distribution in Sampling Inspection by Variables. In Proceedings of the 4th International Conference APLIMAT 2005, pp. 133–142, 2005.
  7. I. Janiga – I. Garaj: One-sided Tolerance Factors of Normal Distributions with Unknown Mean and Variability. pp. 39–42, 2005.
  8. I. Garaj – I. Janiga: . (in Slovak). pp. 228–236, 2004.
  9. I. Janiga – P. Cisko – I. Garaj: Minimum detectable value from the linear calibration. pp. S1-52-S1-63, 2004.
  10. I. Garaj: Numerický výpočet kvantilov normovaného normálneho rozdelenia v programovom systéme Mathematica s presnosťou na 16 desatinných miest (in Slovak). In CD ROM of the 40th International Petroleum Conference, Slovnaft, Inc., Bratislava, Bratislava (Slovakia), pp. 28–31, 2003.
  11. I. Garaj – I. Janiga: Two sided tolerance limits of normal distributions with unknown means and unknown common variability (in Slovak). In 2nd International Conference APLIMAT, Bratislava, pp. 5–7, 2003.
  12. I. Janiga – I. Garaj: Two-sided Tolerance Limits of Normal Distributions with Unknown Means an Unknown Common Variability. pp. 75–78, 2003.
  13. I. Janiga – I. Garaj: Two-sided Tolerance Limits of Normal Distributions with Unknown Parameters. pp. 107–112, 2003.
  14. I. Janiga – I. Garaj: Exact Tolerance Intervals for Normaly Distributed Quality Characteristics (in Slovak). In JAKOST 2003. QUALITY 2003: 12. mezinárodní konference, Ostrava, pp. 20–22, 2003.
  15. I. Janiga – I. Garaj: Dvojstranné tolerančné intervaly normálneho rozdelenia s neznámymi parametrami. Two-sided Tolerance Limits of Normal Distributions with Unknown Parameters (in Slovak). 2003.
  16. I. Garaj – I. Janiga: Exaktný výpočet dvojstranných tolerančných činiteľov normálneho rozdelenia (in Slovak). pp. 430–433, 2002.
  17. I. Garaj – I. Janiga: Dvojstranné tolerančné činitele normálneho rozdelenia s koeficientom spoľahlivosti 99,99 percent (in Slovak). In Štatistické metódy v praxi: 11. slovenská štatistická konferencia, pp. 54–59, 2002.
  18. I. Janiga – I. Garaj: Exaktný výpočet tolerančných činiteľov dvojstranného tolerančného intervalu pre výber z normálneho rozdelenia s neznámymi parametrami (in Slovak). pp. 28–30, 2002.

Article in collection

  1. I. Garaj – I. Janiga: . (in Slovak). pp. 51–59, 2004.
  2. I. Garaj – I. Janiga – P. Cisko: Estimation of minimum detectable value by using linear calibration with constant deviation. pp. 68–75, 2004.
  3. I. Garaj – I. Janiga – P. Cisko: Estimation of minimum detectable value by using linear calibration with standard deviation linearly dependent on net state variable. pp. 60–67, 2004.
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