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dmaths@embuni.ac.ke

Welcome to the Department of Mathematics & Statistics

Dr. Dominic Makaa K. Publications

Publications in Journals:

  1. M. Wanyonyi, D. M. Kitavi, D. M. Mugo, & E. B. Atitwa, “COVID-19 Prediction in Kenya Using the ARIMA Model,” International Journal of Electrical Engineering and Technology, vol. 12, no. 8, pp. 105 – 114, August 2021.
    https://iaeme.com/Home/article_id/IJEET_12_08_009 
  2. G. Ngari, D. M. Kitavi, P. M. Ngari, & D. M. Mugo, “Parameters and State Estimates of Sex Based COVID-19 Model Using Kenya Data, Nonlinear Least Square and Interpolating Polynomials,” International Journal of Scientific and Research Publications, vol. 11, no. 5, pp. 393 – 408, May 2021, http://www.ijsrp.org/research-paper-0521.php?rp=P11311277
  3. Ngari, C. G., & Kitavi, D. M. (2020). Parameterization and Forecasting of Childhood Pneumonia Model Using Least Square Approximation, Lagrange Polynomial and Monte Carlo Simulation. Annual Research & Review in Biology, 102-114. August 2020. https://www.journalarrb.com/index.php/ARRB/article/view/30265  
  4. Wong, K., Morris, Z., Kitavi, D., & Lin, T. (2019). A uniform circular array of isotropic sensors that stochastically dislocate in three dimensions—The hybrid Cramér-Rao bound of direction-of-arrival estimation. The Journal Of The Acoustical Society Of America, 146(1), 150-163. doi: 10.1121/1.5098771 https://asa.scitation.org/doi/10.1121/1.5098771
  5. Kitavi, D., Wong, K., Lin, T., & Wu, Y. (2019). Hybrid Cramér-Rao bound of direction finding, using a triad of cardioid sensors that are perpendicularly oriented and spatially collocated. The Journal Of The Acoustical Society Of America, 146(2), 1099-1109. doi: 10.1121/1.5120521 https://asa.scitation.org/doi/10.1121/1.5120521
  6. Nyokabi, V., Kitavi, D., & Ngari, C. (2019). Cramér-Rao Bound of Direction Finding Using Uniform Arc Arrays. Journal Of Advances In Mathematics And Computer Science, 1-15. doi: 10.9734/jamcs/2019/v33i130168 http://www.journaljamcs.com/index.php/JAMCS/article/view/30168
  7. Ndiritu, G., Kitavi, D., & Ngari, C. (2019). Cramér-Rao Bound of Direction Finding Using a Uniform Hexagonal Array. Journal Of Advances In Mathematics And Computer Science, 1-14. doi: 10.9734/jamcs/2019/v32i630161 http://www.journaljamcs.com/index.php/JAMCS/article/view/30161
  8. M. Kinyili, D. M. Kitavi, & C. G. Ngari, “Aperture Maximization with Half-Wavelength Spacing, via a 2-Circle Concentric Array Geometry that is Uniform but Sparse,” Journal of Advances in Mathematics and Computer Science, vol. 32, no. 3, pp. 1 – 20, May 2019. http://www.journaljamcs.com/index.php/JAMCS/article/view/30148
  9. D. M. Kitavi, K. T. Wong & C.-C. S. Hung, “An L-shaped Array with Non-Orthogonal Axes – Its Cramer-Rao Bound for Direction Finding,” IEEE Transactions on Aerospace and Electronic Systems, vol. 54, no. 1, pp. 486 – 492, February 2018. http://ieeexplore.ieee.org/document/8012415/
  10. D. M. Kitavi, K. T. Wong, M. Zou & K. Agrawal, “A Lower Bound of Estimation Error of an Emitter's Direction-of-Arrival / Polarization, for a Collocated Triad of Orthogonal Dipoles/Loops That Fail Randomly,” IET Microwaves, Antennas & Propagation, vol. 11, no. 7, pp. 961 – 970, June 2017. http://ieeexplore.ieee.org/document/7935594/
  11. D. M. Kitavi, T.-C Lin, K. T. Wong & Y. I. Wu, “Direction Finding with the Sensors' Gains Suffering Bayesian Uncertainty — Hybrid CRB and MAP Estimation,” IEEE Transactions on Aerospace and Electronic Systems, vol. 52, no. 4, pp. 2038 – 2044, August 2016. http://ieeexplore.ieee.org/abstract/document/7738373/

Presentation of Papers at Academic and Professional Conferences

  1. M. Kitavi & F. M. Musyoka, “Cramer-Rao Bound for Direction-of-Arrival Estimation Using a Triad of First-Order Cardioid Sensors,” Proceedings of the International Conference on Electrical, Computer and Energy Technologies (ICECET), 9-10 December 2021, Cape Town, South Africa.
  2. D. M. Kitavi & K. T. Wong, “A Uniform Rectangular Array of Isotropic Sensors of Stochastic Gains: The Hybrid Cramer-Rao Bound for Direction Finding,” Journal of the Acoustical Society of America, vol. 146, no. 4, pp. 2867, November 2019.  https://asa.scitation.org/doi/abs/10.1121/1.5136948 
  3. M. Kinyili & D. M. Kitavi, “Precision of 3-Configurations with Respective Sub-Configurations of 2-Ring Concentric Planar Array in Direction finding,” Kirinyaga University 3rd Annual International Conference, September 2019. https://www.kyu.ac.ke/phocadownload/Book_of_Abstracts/BOOK%20OF%20ABSTRACTS,%202019.pdf
  4. D. M. Kitavi & M. Kinyili, “Cramer-Rao Bound of Direction Finding Using Multi-Concentric Circular Arrays,” International Arab Conference on Mathematics and Computations (IACMC), April 2019, http://iacmc.zu.edu.jo/eng/images/finalproceedings.pdf
  5. Z. N. Morris, K. T. Wong, D. M. Kitavi, & T.-C. Lin, “The Hybrid Cramer-Rao Bound of Direction Finding by a Uniform Circular Array of Isotropic Sensors that Suffer Stochastic Dislocations,” Journal of the Acoustical Society of America (ASA), vol. 142, no. 4, pp. 2554, November 2017. http://asa.scitation.org/doi/10.1121/1.5014336
  6. D. M. Kitavi, K. T. Wong, L. Yeh & T.-C. Lin, “Cramer-Rao Bound for Direction Finding at a Tri-Axial Velocity-Sensor of an Acoustic Event Having an AR(1) Temporal Auto-Correlation,” Journal of the Acoustical Society of America (ASA), vol. 141, no.5, pp. 3650, June 2017. http://asa.scitation.org/doi/abs/10.1121/1.498789
  7. D. M. Kitavi, H. Tan & K. T. Wong, “A Regular Tetrahedral Array Whose Constituent Sensors Fail Randomly - A Lower Bound for Direction-of-Arrival Estimation,” 2016 IEEE Loughborough Antennas & Propagation Conference (LAPC), pp. 1 – 5, November 2016.
    http://ieeexplore.ieee.org/document/7807600/
  8. D. M. Kitavi, T.-C. Lin & K. T. Wong, “A Tetrahedral Array of Isotropic Sensors, Each Suffering a Random Complex Gain – The Resulting Hybrid Cramer-Rao Bound for Direction Finding,” 2016 IEEE National Aerospace and Electronics Conference (NAECON) and Ohio Innovation Summit (OIS), pp. 412 – 415, July 2016. http://ieeexplore.ieee.org/document/7856840/

REVIEWER FOR SELECTED PROFESSIONAL JOURNALS
1.    IEEE Transactions on Aerospace and Electronic Systems
2.    Journal of Acoustical Society of America
3.    Scientific African Journal – Elsevier

SCHOLARSHIPS / AWARDS

  • Hong Kong PhD Fellowship Scheme, Sep. 2014 – Aug. 2017 - Awarded by the Research Grants Council of Hong Kong.
  • ABSA Bursary Award, 2013 - Awarded by ABSA Group Limited, South Africa.
  • AIMS Master Degree Scholarship, 2012 - Awarded by the African Institute for Mathematical Sciences - South Africa.

ONGOING SUPERVISION OF POSTGRADUATE STUDENTS

  1. Kevin Ng’ang’a (B531/1333/2019) – Master of Science in Statistics

Thesis Title: Forecasting Stock Prices in Nairobi Stock Exchange

Institution: University of Embu

SUPERVISED POSTGRADUATE STUDENTS TO COMPLETION

  1. Maurice Wanyonyi (B531/1313/2019) - Master of Science in Statistics.

Thesis title: Modelling COVID-19 Pandemic in Kenya.

Graduation: September 2021, University of Embu.

  1. Veronicah Nyokabi (B527/1104/2016) - Master of Science in Applied Mathematics.

Thesis title: Cramer-Rao bound of Direction Finding Using Uniform Arc Arrays

Graduation: September 2019, University of Embu.

  1. Musyoka Kinyili (B527/1145/2017) - Master of Science in Applied Mathematics.

Thesis title: Cramer-Rao bound of Direction Finding Using 2-Circle Concentric Uniform Array

Graduation: September 2019, University of Embu.

  1. Grace Ndiritu (B527/1141/2017) - Master of Science in Applied Mathematics

Thesis title: Cramer-Rao bound of Direction Finding Using Uniform Hexagonal Array

Graduation: September 2019, University of Embu.